/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 749 ms] (4) CpxRelTRS (5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (6) TRS for Loop Detection (7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxRelTRS (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (10) typed CpxTrs (11) OrderProof [LOWER BOUND(ID), 13 ms] (12) typed CpxTrs (13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (14) CpxTRS (15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (16) CpxRelTRS (17) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (18) CpxWeightedTrs (19) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxTypedWeightedTrs (21) CompletionProof [UPPER BOUND(ID), 8 ms] (22) CpxTypedWeightedCompleteTrs (23) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 37 ms] (24) CpxRNTS (25) CompletionProof [UPPER BOUND(ID), 7 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTrsToCdtProof [UPPER BOUND(ID), 38 ms] (28) CdtProblem (29) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (30) CdtProblem (31) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (32) CdtProblem (33) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (34) CdtProblem (35) CdtLeafRemovalProof [ComplexityIfPolyImplication, 3 ms] (36) CdtProblem (37) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 163 ms] (38) CdtProblem (39) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 13 ms] (40) CdtProblem (41) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 46 ms] (44) CdtProblem (45) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 76 ms] (48) CdtProblem (49) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 56 ms] (52) CdtProblem (53) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 4 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 47 ms] (56) CdtProblem (57) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (58) CdtProblem (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 19 ms] (60) CdtProblem (61) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 2 ms] (62) CdtProblem (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 144 ms] (64) CdtProblem (65) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 8 ms] (66) CdtProblem (67) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 66 ms] (68) CdtProblem (69) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (70) CdtProblem (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 189 ms] (72) CdtProblem (73) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 34 ms] (74) CdtProblem (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 432 ms] (76) CdtProblem (77) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 52 ms] (78) CdtProblem (79) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 613 ms] (80) CdtProblem (81) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 52 ms] (82) CdtProblem (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 140 ms] (84) CdtProblem (85) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 36 ms] (86) CdtProblem (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 367 ms] (88) CdtProblem (89) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 60 ms] (90) CdtProblem (91) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 172 ms] (92) CdtProblem (93) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 49 ms] (94) CdtProblem (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 866 ms] (96) CdtProblem (97) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 87 ms] (98) CdtProblem (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1015 ms] (100) CdtProblem (101) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 143 ms] (102) CdtProblem (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 607 ms] (104) CdtProblem (105) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 113 ms] (106) CdtProblem (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 124 ms] (108) CdtProblem (109) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 135 ms] (110) CdtProblem (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 143 ms] (112) CdtProblem (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 143 ms] (114) CdtProblem (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 152 ms] (116) CdtProblem (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 149 ms] (118) CdtProblem (119) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 177 ms] (120) CdtProblem (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 171 ms] (122) CdtProblem (123) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 155 ms] (124) CdtProblem (125) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 54 ms] (126) CdtProblem (127) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 258 ms] (128) 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, V2)) -> mark(U12(isNat(V2))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, V2)) -> mark(U32(isNat(V2))) active(U32(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(U52(isNat(N), M, N)) active(U52(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0) active(U71(tt, M, N)) -> mark(U72(isNat(N), M, N)) active(U72(tt, M, N)) -> mark(plus(x(N, M), N)) active(isNat(0)) -> mark(tt) active(isNat(plus(V1, V2))) -> mark(U11(isNat(V1), V2)) active(isNat(s(V1))) -> mark(U21(isNat(V1))) active(isNat(x(V1, V2))) -> mark(U31(isNat(V1), V2)) active(plus(N, 0)) -> mark(U41(isNat(N), N)) active(plus(N, s(M))) -> mark(U51(isNat(M), M, N)) active(x(N, 0)) -> mark(U61(isNat(N))) active(x(N, s(M))) -> mark(U71(isNat(M), M, N)) mark(U11(X1, X2)) -> active(U11(mark(X1), X2)) mark(tt) -> active(tt) mark(U12(X)) -> active(U12(mark(X))) mark(isNat(X)) -> active(isNat(X)) mark(U21(X)) -> active(U21(mark(X))) mark(U31(X1, X2)) -> active(U31(mark(X1), X2)) mark(U32(X)) -> active(U32(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(U52(X1, X2, X3)) -> active(U52(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(U72(X1, X2, X3)) -> active(U72(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) U11(mark(X1), X2) -> U11(X1, X2) U11(X1, mark(X2)) -> U11(X1, X2) U11(active(X1), X2) -> U11(X1, X2) U11(X1, active(X2)) -> U11(X1, X2) U12(mark(X)) -> U12(X) U12(active(X)) -> U12(X) isNat(mark(X)) -> isNat(X) isNat(active(X)) -> isNat(X) U21(mark(X)) -> U21(X) U21(active(X)) -> U21(X) U31(mark(X1), X2) -> U31(X1, X2) U31(X1, mark(X2)) -> U31(X1, X2) U31(active(X1), X2) -> U31(X1, X2) U31(X1, active(X2)) -> U31(X1, X2) U32(mark(X)) -> U32(X) U32(active(X)) -> U32(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) U52(mark(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, mark(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, mark(X3)) -> U52(X1, X2, X3) U52(active(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, active(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, active(X3)) -> U52(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) U72(mark(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, mark(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, mark(X3)) -> U72(X1, X2, X3) U72(active(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, active(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, active(X3)) -> U72(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) 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)) -> U11(encArg(x_1), encArg(x_2)) encArg(cons_U12(x_1)) -> U12(encArg(x_1)) encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) encArg(cons_U21(x_1)) -> U21(encArg(x_1)) encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) encArg(cons_U32(x_1)) -> U32(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_U52(x_1, x_2, x_3)) -> U52(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_U72(x_1, x_2, x_3)) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2)) encode_active(x_1) -> active(encArg(x_1)) encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) encode_tt -> tt encode_mark(x_1) -> mark(encArg(x_1)) encode_U12(x_1) -> U12(encArg(x_1)) encode_isNat(x_1) -> isNat(encArg(x_1)) encode_U21(x_1) -> U21(encArg(x_1)) encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) encode_U32(x_1) -> U32(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_U52(x_1, x_2, x_3) -> U52(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_U72(x_1, x_2, x_3) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: active(U11(tt, V2)) -> mark(U12(isNat(V2))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, V2)) -> mark(U32(isNat(V2))) active(U32(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(U52(isNat(N), M, N)) active(U52(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0) active(U71(tt, M, N)) -> mark(U72(isNat(N), M, N)) active(U72(tt, M, N)) -> mark(plus(x(N, M), N)) active(isNat(0)) -> mark(tt) active(isNat(plus(V1, V2))) -> mark(U11(isNat(V1), V2)) active(isNat(s(V1))) -> mark(U21(isNat(V1))) active(isNat(x(V1, V2))) -> mark(U31(isNat(V1), V2)) active(plus(N, 0)) -> mark(U41(isNat(N), N)) active(plus(N, s(M))) -> mark(U51(isNat(M), M, N)) active(x(N, 0)) -> mark(U61(isNat(N))) active(x(N, s(M))) -> mark(U71(isNat(M), M, N)) mark(U11(X1, X2)) -> active(U11(mark(X1), X2)) mark(tt) -> active(tt) mark(U12(X)) -> active(U12(mark(X))) mark(isNat(X)) -> active(isNat(X)) mark(U21(X)) -> active(U21(mark(X))) mark(U31(X1, X2)) -> active(U31(mark(X1), X2)) mark(U32(X)) -> active(U32(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(U52(X1, X2, X3)) -> active(U52(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(U72(X1, X2, X3)) -> active(U72(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) U11(mark(X1), X2) -> U11(X1, X2) U11(X1, mark(X2)) -> U11(X1, X2) U11(active(X1), X2) -> U11(X1, X2) U11(X1, active(X2)) -> U11(X1, X2) U12(mark(X)) -> U12(X) U12(active(X)) -> U12(X) isNat(mark(X)) -> isNat(X) isNat(active(X)) -> isNat(X) U21(mark(X)) -> U21(X) U21(active(X)) -> U21(X) U31(mark(X1), X2) -> U31(X1, X2) U31(X1, mark(X2)) -> U31(X1, X2) U31(active(X1), X2) -> U31(X1, X2) U31(X1, active(X2)) -> U31(X1, X2) U32(mark(X)) -> U32(X) U32(active(X)) -> U32(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) U52(mark(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, mark(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, mark(X3)) -> U52(X1, X2, X3) U52(active(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, active(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, active(X3)) -> U52(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) U72(mark(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, mark(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, mark(X3)) -> U72(X1, X2, X3) U72(active(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, active(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, active(X3)) -> U72(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) 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)) -> U11(encArg(x_1), encArg(x_2)) encArg(cons_U12(x_1)) -> U12(encArg(x_1)) encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) encArg(cons_U21(x_1)) -> U21(encArg(x_1)) encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) encArg(cons_U32(x_1)) -> U32(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_U52(x_1, x_2, x_3)) -> U52(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_U72(x_1, x_2, x_3)) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2)) encode_active(x_1) -> active(encArg(x_1)) encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) encode_tt -> tt encode_mark(x_1) -> mark(encArg(x_1)) encode_U12(x_1) -> U12(encArg(x_1)) encode_isNat(x_1) -> isNat(encArg(x_1)) encode_U21(x_1) -> U21(encArg(x_1)) encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) encode_U32(x_1) -> U32(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_U52(x_1, x_2, x_3) -> U52(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_U72(x_1, x_2, x_3) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) Rewrite Strategy: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: active(U11(tt, V2)) -> mark(U12(isNat(V2))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, V2)) -> mark(U32(isNat(V2))) active(U32(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(U52(isNat(N), M, N)) active(U52(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0) active(U71(tt, M, N)) -> mark(U72(isNat(N), M, N)) active(U72(tt, M, N)) -> mark(plus(x(N, M), N)) active(isNat(0)) -> mark(tt) active(isNat(plus(V1, V2))) -> mark(U11(isNat(V1), V2)) active(isNat(s(V1))) -> mark(U21(isNat(V1))) active(isNat(x(V1, V2))) -> mark(U31(isNat(V1), V2)) active(plus(N, 0)) -> mark(U41(isNat(N), N)) active(plus(N, s(M))) -> mark(U51(isNat(M), M, N)) active(x(N, 0)) -> mark(U61(isNat(N))) active(x(N, s(M))) -> mark(U71(isNat(M), M, N)) mark(U11(X1, X2)) -> active(U11(mark(X1), X2)) mark(tt) -> active(tt) mark(U12(X)) -> active(U12(mark(X))) mark(isNat(X)) -> active(isNat(X)) mark(U21(X)) -> active(U21(mark(X))) mark(U31(X1, X2)) -> active(U31(mark(X1), X2)) mark(U32(X)) -> active(U32(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(U52(X1, X2, X3)) -> active(U52(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(U72(X1, X2, X3)) -> active(U72(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) U11(mark(X1), X2) -> U11(X1, X2) U11(X1, mark(X2)) -> U11(X1, X2) U11(active(X1), X2) -> U11(X1, X2) U11(X1, active(X2)) -> U11(X1, X2) U12(mark(X)) -> U12(X) U12(active(X)) -> U12(X) isNat(mark(X)) -> isNat(X) isNat(active(X)) -> isNat(X) U21(mark(X)) -> U21(X) U21(active(X)) -> U21(X) U31(mark(X1), X2) -> U31(X1, X2) U31(X1, mark(X2)) -> U31(X1, X2) U31(active(X1), X2) -> U31(X1, X2) U31(X1, active(X2)) -> U31(X1, X2) U32(mark(X)) -> U32(X) U32(active(X)) -> U32(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) U52(mark(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, mark(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, mark(X3)) -> U52(X1, X2, X3) U52(active(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, active(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, active(X3)) -> U52(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) U72(mark(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, mark(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, mark(X3)) -> U72(X1, X2, X3) U72(active(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, active(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, active(X3)) -> U72(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) 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)) -> U11(encArg(x_1), encArg(x_2)) encArg(cons_U12(x_1)) -> U12(encArg(x_1)) encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) encArg(cons_U21(x_1)) -> U21(encArg(x_1)) encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) encArg(cons_U32(x_1)) -> U32(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_U52(x_1, x_2, x_3)) -> U52(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_U72(x_1, x_2, x_3)) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2)) encode_active(x_1) -> active(encArg(x_1)) encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) encode_tt -> tt encode_mark(x_1) -> mark(encArg(x_1)) encode_U12(x_1) -> U12(encArg(x_1)) encode_isNat(x_1) -> isNat(encArg(x_1)) encode_U21(x_1) -> U21(encArg(x_1)) encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) encode_U32(x_1) -> U32(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_U52(x_1, x_2, x_3) -> U52(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_U72(x_1, x_2, x_3) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) Rewrite Strategy: INNERMOST ---------------------------------------- (5) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (6) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: active(U11(tt, V2)) -> mark(U12(isNat(V2))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, V2)) -> mark(U32(isNat(V2))) active(U32(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(U52(isNat(N), M, N)) active(U52(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0) active(U71(tt, M, N)) -> mark(U72(isNat(N), M, N)) active(U72(tt, M, N)) -> mark(plus(x(N, M), N)) active(isNat(0)) -> mark(tt) active(isNat(plus(V1, V2))) -> mark(U11(isNat(V1), V2)) active(isNat(s(V1))) -> mark(U21(isNat(V1))) active(isNat(x(V1, V2))) -> mark(U31(isNat(V1), V2)) active(plus(N, 0)) -> mark(U41(isNat(N), N)) active(plus(N, s(M))) -> mark(U51(isNat(M), M, N)) active(x(N, 0)) -> mark(U61(isNat(N))) active(x(N, s(M))) -> mark(U71(isNat(M), M, N)) mark(U11(X1, X2)) -> active(U11(mark(X1), X2)) mark(tt) -> active(tt) mark(U12(X)) -> active(U12(mark(X))) mark(isNat(X)) -> active(isNat(X)) mark(U21(X)) -> active(U21(mark(X))) mark(U31(X1, X2)) -> active(U31(mark(X1), X2)) mark(U32(X)) -> active(U32(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(U52(X1, X2, X3)) -> active(U52(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(U72(X1, X2, X3)) -> active(U72(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) U11(mark(X1), X2) -> U11(X1, X2) U11(X1, mark(X2)) -> U11(X1, X2) U11(active(X1), X2) -> U11(X1, X2) U11(X1, active(X2)) -> U11(X1, X2) U12(mark(X)) -> U12(X) U12(active(X)) -> U12(X) isNat(mark(X)) -> isNat(X) isNat(active(X)) -> isNat(X) U21(mark(X)) -> U21(X) U21(active(X)) -> U21(X) U31(mark(X1), X2) -> U31(X1, X2) U31(X1, mark(X2)) -> U31(X1, X2) U31(active(X1), X2) -> U31(X1, X2) U31(X1, active(X2)) -> U31(X1, X2) U32(mark(X)) -> U32(X) U32(active(X)) -> U32(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) U52(mark(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, mark(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, mark(X3)) -> U52(X1, X2, X3) U52(active(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, active(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, active(X3)) -> U52(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) U72(mark(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, mark(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, mark(X3)) -> U72(X1, X2, X3) U72(active(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, active(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, active(X3)) -> U72(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) 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)) -> U11(encArg(x_1), encArg(x_2)) encArg(cons_U12(x_1)) -> U12(encArg(x_1)) encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) encArg(cons_U21(x_1)) -> U21(encArg(x_1)) encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) encArg(cons_U32(x_1)) -> U32(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_U52(x_1, x_2, x_3)) -> U52(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_U72(x_1, x_2, x_3)) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2)) encode_active(x_1) -> active(encArg(x_1)) encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) encode_tt -> tt encode_mark(x_1) -> mark(encArg(x_1)) encode_U12(x_1) -> U12(encArg(x_1)) encode_isNat(x_1) -> isNat(encArg(x_1)) encode_U21(x_1) -> U21(encArg(x_1)) encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) encode_U32(x_1) -> U32(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_U52(x_1, x_2, x_3) -> U52(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_U72(x_1, x_2, x_3) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) Rewrite Strategy: INNERMOST ---------------------------------------- (7) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (8) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: active(U11(tt, V2)) -> mark(U12(isNat(V2))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, V2)) -> mark(U32(isNat(V2))) active(U32(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(U52(isNat(N), M, N)) active(U52(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0') active(U71(tt, M, N)) -> mark(U72(isNat(N), M, N)) active(U72(tt, M, N)) -> mark(plus(x(N, M), N)) active(isNat(0')) -> mark(tt) active(isNat(plus(V1, V2))) -> mark(U11(isNat(V1), V2)) active(isNat(s(V1))) -> mark(U21(isNat(V1))) active(isNat(x(V1, V2))) -> mark(U31(isNat(V1), V2)) active(plus(N, 0')) -> mark(U41(isNat(N), N)) active(plus(N, s(M))) -> mark(U51(isNat(M), M, N)) active(x(N, 0')) -> mark(U61(isNat(N))) active(x(N, s(M))) -> mark(U71(isNat(M), M, N)) mark(U11(X1, X2)) -> active(U11(mark(X1), X2)) mark(tt) -> active(tt) mark(U12(X)) -> active(U12(mark(X))) mark(isNat(X)) -> active(isNat(X)) mark(U21(X)) -> active(U21(mark(X))) mark(U31(X1, X2)) -> active(U31(mark(X1), X2)) mark(U32(X)) -> active(U32(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(U52(X1, X2, X3)) -> active(U52(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(U72(X1, X2, X3)) -> active(U72(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) U11(mark(X1), X2) -> U11(X1, X2) U11(X1, mark(X2)) -> U11(X1, X2) U11(active(X1), X2) -> U11(X1, X2) U11(X1, active(X2)) -> U11(X1, X2) U12(mark(X)) -> U12(X) U12(active(X)) -> U12(X) isNat(mark(X)) -> isNat(X) isNat(active(X)) -> isNat(X) U21(mark(X)) -> U21(X) U21(active(X)) -> U21(X) U31(mark(X1), X2) -> U31(X1, X2) U31(X1, mark(X2)) -> U31(X1, X2) U31(active(X1), X2) -> U31(X1, X2) U31(X1, active(X2)) -> U31(X1, X2) U32(mark(X)) -> U32(X) U32(active(X)) -> U32(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) U52(mark(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, mark(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, mark(X3)) -> U52(X1, X2, X3) U52(active(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, active(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, active(X3)) -> U52(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) U72(mark(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, mark(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, mark(X3)) -> U72(X1, X2, X3) U72(active(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, active(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, active(X3)) -> U72(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) 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)) -> U11(encArg(x_1), encArg(x_2)) encArg(cons_U12(x_1)) -> U12(encArg(x_1)) encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) encArg(cons_U21(x_1)) -> U21(encArg(x_1)) encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) encArg(cons_U32(x_1)) -> U32(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_U52(x_1, x_2, x_3)) -> U52(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_U72(x_1, x_2, x_3)) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2)) encode_active(x_1) -> active(encArg(x_1)) encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) encode_tt -> tt encode_mark(x_1) -> mark(encArg(x_1)) encode_U12(x_1) -> U12(encArg(x_1)) encode_isNat(x_1) -> isNat(encArg(x_1)) encode_U21(x_1) -> U21(encArg(x_1)) encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) encode_U32(x_1) -> U32(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_U52(x_1, x_2, x_3) -> U52(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_U72(x_1, x_2, x_3) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) Rewrite Strategy: INNERMOST ---------------------------------------- (9) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (10) Obligation: Innermost TRS: Rules: active(U11(tt, V2)) -> mark(U12(isNat(V2))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, V2)) -> mark(U32(isNat(V2))) active(U32(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(U52(isNat(N), M, N)) active(U52(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0') active(U71(tt, M, N)) -> mark(U72(isNat(N), M, N)) active(U72(tt, M, N)) -> mark(plus(x(N, M), N)) active(isNat(0')) -> mark(tt) active(isNat(plus(V1, V2))) -> mark(U11(isNat(V1), V2)) active(isNat(s(V1))) -> mark(U21(isNat(V1))) active(isNat(x(V1, V2))) -> mark(U31(isNat(V1), V2)) active(plus(N, 0')) -> mark(U41(isNat(N), N)) active(plus(N, s(M))) -> mark(U51(isNat(M), M, N)) active(x(N, 0')) -> mark(U61(isNat(N))) active(x(N, s(M))) -> mark(U71(isNat(M), M, N)) mark(U11(X1, X2)) -> active(U11(mark(X1), X2)) mark(tt) -> active(tt) mark(U12(X)) -> active(U12(mark(X))) mark(isNat(X)) -> active(isNat(X)) mark(U21(X)) -> active(U21(mark(X))) mark(U31(X1, X2)) -> active(U31(mark(X1), X2)) mark(U32(X)) -> active(U32(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(U52(X1, X2, X3)) -> active(U52(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(U72(X1, X2, X3)) -> active(U72(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) U11(mark(X1), X2) -> U11(X1, X2) U11(X1, mark(X2)) -> U11(X1, X2) U11(active(X1), X2) -> U11(X1, X2) U11(X1, active(X2)) -> U11(X1, X2) U12(mark(X)) -> U12(X) U12(active(X)) -> U12(X) isNat(mark(X)) -> isNat(X) isNat(active(X)) -> isNat(X) U21(mark(X)) -> U21(X) U21(active(X)) -> U21(X) U31(mark(X1), X2) -> U31(X1, X2) U31(X1, mark(X2)) -> U31(X1, X2) U31(active(X1), X2) -> U31(X1, X2) U31(X1, active(X2)) -> U31(X1, X2) U32(mark(X)) -> U32(X) U32(active(X)) -> U32(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) U52(mark(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, mark(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, mark(X3)) -> U52(X1, X2, X3) U52(active(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, active(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, active(X3)) -> U52(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) U72(mark(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, mark(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, mark(X3)) -> U72(X1, X2, X3) U72(active(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, active(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, active(X3)) -> U72(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) 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)) -> U11(encArg(x_1), encArg(x_2)) encArg(cons_U12(x_1)) -> U12(encArg(x_1)) encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) encArg(cons_U21(x_1)) -> U21(encArg(x_1)) encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) encArg(cons_U32(x_1)) -> U32(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_U52(x_1, x_2, x_3)) -> U52(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_U72(x_1, x_2, x_3)) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2)) encode_active(x_1) -> active(encArg(x_1)) encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) encode_tt -> tt encode_mark(x_1) -> mark(encArg(x_1)) encode_U12(x_1) -> U12(encArg(x_1)) encode_isNat(x_1) -> isNat(encArg(x_1)) encode_U21(x_1) -> U21(encArg(x_1)) encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) encode_U32(x_1) -> U32(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_U52(x_1, x_2, x_3) -> U52(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_U72(x_1, x_2, x_3) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) Types: active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x tt :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x isNat :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U31 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U32 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U41 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U51 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U52 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U61 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x 0' :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U71 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U72 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encArg :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_isNat :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U31 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U32 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U41 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U51 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U52 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U61 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U71 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U72 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_tt :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_isNat :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U31 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U32 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U41 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U51 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U52 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U61 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_0 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U71 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U72 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x hole_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x1_4 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x2_4 :: Nat -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x ---------------------------------------- (11) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: active, mark, U12, isNat, U32, U52, s, plus, U72, x, U11, U21, U31, U41, U51, U61, U71, encArg They will be analysed ascendingly in the following order: active = mark U12 < active isNat < active U32 < active U52 < active s < active plus < active U72 < active x < active U11 < active U21 < active U31 < active U41 < active U51 < active U61 < active U71 < active active < encArg U12 < mark isNat < mark U32 < mark U52 < mark s < mark plus < mark U72 < mark x < mark U11 < mark U21 < mark U31 < mark U41 < mark U51 < mark U61 < mark U71 < mark mark < encArg U12 < encArg isNat < encArg U32 < encArg U52 < encArg s < encArg plus < encArg U72 < encArg x < encArg U11 < encArg U21 < encArg U31 < encArg U41 < encArg U51 < encArg U61 < encArg U71 < encArg ---------------------------------------- (12) Obligation: Innermost TRS: Rules: active(U11(tt, V2)) -> mark(U12(isNat(V2))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, V2)) -> mark(U32(isNat(V2))) active(U32(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(U52(isNat(N), M, N)) active(U52(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0') active(U71(tt, M, N)) -> mark(U72(isNat(N), M, N)) active(U72(tt, M, N)) -> mark(plus(x(N, M), N)) active(isNat(0')) -> mark(tt) active(isNat(plus(V1, V2))) -> mark(U11(isNat(V1), V2)) active(isNat(s(V1))) -> mark(U21(isNat(V1))) active(isNat(x(V1, V2))) -> mark(U31(isNat(V1), V2)) active(plus(N, 0')) -> mark(U41(isNat(N), N)) active(plus(N, s(M))) -> mark(U51(isNat(M), M, N)) active(x(N, 0')) -> mark(U61(isNat(N))) active(x(N, s(M))) -> mark(U71(isNat(M), M, N)) mark(U11(X1, X2)) -> active(U11(mark(X1), X2)) mark(tt) -> active(tt) mark(U12(X)) -> active(U12(mark(X))) mark(isNat(X)) -> active(isNat(X)) mark(U21(X)) -> active(U21(mark(X))) mark(U31(X1, X2)) -> active(U31(mark(X1), X2)) mark(U32(X)) -> active(U32(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(U52(X1, X2, X3)) -> active(U52(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(U72(X1, X2, X3)) -> active(U72(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) U11(mark(X1), X2) -> U11(X1, X2) U11(X1, mark(X2)) -> U11(X1, X2) U11(active(X1), X2) -> U11(X1, X2) U11(X1, active(X2)) -> U11(X1, X2) U12(mark(X)) -> U12(X) U12(active(X)) -> U12(X) isNat(mark(X)) -> isNat(X) isNat(active(X)) -> isNat(X) U21(mark(X)) -> U21(X) U21(active(X)) -> U21(X) U31(mark(X1), X2) -> U31(X1, X2) U31(X1, mark(X2)) -> U31(X1, X2) U31(active(X1), X2) -> U31(X1, X2) U31(X1, active(X2)) -> U31(X1, X2) U32(mark(X)) -> U32(X) U32(active(X)) -> U32(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) U52(mark(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, mark(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, mark(X3)) -> U52(X1, X2, X3) U52(active(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, active(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, active(X3)) -> U52(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) U72(mark(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, mark(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, mark(X3)) -> U72(X1, X2, X3) U72(active(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, active(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, active(X3)) -> U72(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) 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)) -> U11(encArg(x_1), encArg(x_2)) encArg(cons_U12(x_1)) -> U12(encArg(x_1)) encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) encArg(cons_U21(x_1)) -> U21(encArg(x_1)) encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) encArg(cons_U32(x_1)) -> U32(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_U52(x_1, x_2, x_3)) -> U52(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_U72(x_1, x_2, x_3)) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2)) encode_active(x_1) -> active(encArg(x_1)) encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) encode_tt -> tt encode_mark(x_1) -> mark(encArg(x_1)) encode_U12(x_1) -> U12(encArg(x_1)) encode_isNat(x_1) -> isNat(encArg(x_1)) encode_U21(x_1) -> U21(encArg(x_1)) encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) encode_U32(x_1) -> U32(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_U52(x_1, x_2, x_3) -> U52(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_U72(x_1, x_2, x_3) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) Types: active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x tt :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x isNat :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U31 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U32 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U41 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U51 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U52 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U61 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x 0' :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U71 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U72 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encArg :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_isNat :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U31 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U32 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U41 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U51 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U52 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U61 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U71 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U72 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_tt :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_isNat :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U31 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U32 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U41 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U51 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U52 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U61 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_0 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U71 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U72 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x hole_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x1_4 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x2_4 :: Nat -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x Generator Equations: gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x2_4(0) <=> tt gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x2_4(+(x, 1)) <=> cons_active(gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x2_4(x)) The following defined symbols remain to be analysed: U12, active, mark, isNat, U32, U52, s, plus, U72, x, U11, U21, U31, U41, U51, U61, U71, encArg They will be analysed ascendingly in the following order: active = mark U12 < active isNat < active U32 < active U52 < active s < active plus < active U72 < active x < active U11 < active U21 < active U31 < active U41 < active U51 < active U61 < active U71 < active active < encArg U12 < mark isNat < mark U32 < mark U52 < mark s < mark plus < mark U72 < mark x < mark U11 < mark U21 < mark U31 < mark U41 < mark U51 < mark U61 < mark U71 < mark mark < encArg U12 < encArg isNat < encArg U32 < encArg U52 < encArg s < encArg plus < encArg U72 < encArg x < encArg U11 < encArg U21 < encArg U31 < encArg U41 < encArg U51 < encArg U61 < encArg U71 < encArg ---------------------------------------- (13) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (14) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: active(U11(tt, V2)) -> mark(U12(isNat(V2))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, V2)) -> mark(U32(isNat(V2))) active(U32(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(U52(isNat(N), M, N)) active(U52(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0) active(U71(tt, M, N)) -> mark(U72(isNat(N), M, N)) active(U72(tt, M, N)) -> mark(plus(x(N, M), N)) active(isNat(0)) -> mark(tt) active(isNat(plus(V1, V2))) -> mark(U11(isNat(V1), V2)) active(isNat(s(V1))) -> mark(U21(isNat(V1))) active(isNat(x(V1, V2))) -> mark(U31(isNat(V1), V2)) active(plus(N, 0)) -> mark(U41(isNat(N), N)) active(plus(N, s(M))) -> mark(U51(isNat(M), M, N)) active(x(N, 0)) -> mark(U61(isNat(N))) active(x(N, s(M))) -> mark(U71(isNat(M), M, N)) mark(U11(X1, X2)) -> active(U11(mark(X1), X2)) mark(tt) -> active(tt) mark(U12(X)) -> active(U12(mark(X))) mark(isNat(X)) -> active(isNat(X)) mark(U21(X)) -> active(U21(mark(X))) mark(U31(X1, X2)) -> active(U31(mark(X1), X2)) mark(U32(X)) -> active(U32(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(U52(X1, X2, X3)) -> active(U52(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(U72(X1, X2, X3)) -> active(U72(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) U11(mark(X1), X2) -> U11(X1, X2) U11(X1, mark(X2)) -> U11(X1, X2) U11(active(X1), X2) -> U11(X1, X2) U11(X1, active(X2)) -> U11(X1, X2) U12(mark(X)) -> U12(X) U12(active(X)) -> U12(X) isNat(mark(X)) -> isNat(X) isNat(active(X)) -> isNat(X) U21(mark(X)) -> U21(X) U21(active(X)) -> U21(X) U31(mark(X1), X2) -> U31(X1, X2) U31(X1, mark(X2)) -> U31(X1, X2) U31(active(X1), X2) -> U31(X1, X2) U31(X1, active(X2)) -> U31(X1, X2) U32(mark(X)) -> U32(X) U32(active(X)) -> U32(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) U52(mark(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, mark(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, mark(X3)) -> U52(X1, X2, X3) U52(active(X1), X2, X3) -> U52(X1, X2, X3) U52(X1, active(X2), X3) -> U52(X1, X2, X3) U52(X1, X2, active(X3)) -> U52(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) U72(mark(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, mark(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, mark(X3)) -> U72(X1, X2, X3) U72(active(X1), X2, X3) -> U72(X1, X2, X3) U72(X1, active(X2), X3) -> U72(X1, X2, X3) U72(X1, X2, active(X3)) -> U72(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) 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)) -> U11(encArg(x_1), encArg(x_2)) encArg(cons_U12(x_1)) -> U12(encArg(x_1)) encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) encArg(cons_U21(x_1)) -> U21(encArg(x_1)) encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) encArg(cons_U32(x_1)) -> U32(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_U52(x_1, x_2, x_3)) -> U52(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_U72(x_1, x_2, x_3)) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2)) encode_active(x_1) -> active(encArg(x_1)) encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) encode_tt -> tt encode_mark(x_1) -> mark(encArg(x_1)) encode_U12(x_1) -> U12(encArg(x_1)) encode_isNat(x_1) -> isNat(encArg(x_1)) encode_U21(x_1) -> U21(encArg(x_1)) encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) encode_U32(x_1) -> U32(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_U52(x_1, x_2, x_3) -> U52(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_U72(x_1, x_2, x_3) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (15) NonCtorToCtorProof (UPPER BOUND(ID)) transformed non-ctor to ctor-system ---------------------------------------- (16) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: mark(tt) -> active(tt) mark(0) -> active(0) U51(c_active(X1), X2, X3) -> U51(X1, X2, X3) U71(X1, c_active(X2), X3) -> U71(X1, X2, X3) U31(X1, c_active(X2)) -> U31(X1, X2) mark(c_U31(X1, X2)) -> active(U31(mark(X1), X2)) U72(X1, c_mark(X2), X3) -> U72(X1, X2, X3) isNat(c_active(X)) -> isNat(X) U71(X1, X2, c_mark(X3)) -> U71(X1, X2, X3) U72(c_active(X1), X2, X3) -> U72(X1, X2, X3) U32(c_active(X)) -> U32(X) active(c_U51(tt, M, N)) -> mark(U52(isNat(N), M, N)) U41(X1, c_active(X2)) -> U41(X1, X2) active(c_U32(tt)) -> mark(tt) x(c_active(X1), X2) -> x(X1, X2) mark(c_U11(X1, X2)) -> active(U11(mark(X1), X2)) U11(X1, c_mark(X2)) -> U11(X1, X2) U52(c_mark(X1), X2, X3) -> U52(X1, X2, X3) active(c_U52(tt, M, N)) -> mark(s(plus(N, M))) active(c_U61(tt)) -> mark(0) 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) U31(c_active(X1), X2) -> U31(X1, X2) U51(X1, c_active(X2), X3) -> U51(X1, X2, X3) U52(c_active(X1), X2, X3) -> U52(X1, X2, X3) U51(c_mark(X1), X2, X3) -> U51(X1, X2, X3) active(c_U21(tt)) -> mark(tt) active(c_isNat(c_s(V1))) -> mark(U21(isNat(V1))) mark(c_U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) U31(X1, c_mark(X2)) -> U31(X1, X2) U61(c_active(X)) -> U61(X) U41(c_active(X1), X2) -> U41(X1, X2) U12(c_mark(X)) -> U12(X) U12(c_active(X)) -> U12(X) active(c_U12(tt)) -> mark(tt) active(c_plus(N, 0)) -> mark(U41(isNat(N), N)) mark(c_U21(X)) -> active(U21(mark(X))) x(X1, c_active(X2)) -> x(X1, X2) active(c_x(N, c_s(M))) -> mark(U71(isNat(M), M, N)) U61(c_mark(X)) -> U61(X) mark(c_U32(X)) -> active(U32(mark(X))) U72(X1, X2, c_mark(X3)) -> U72(X1, X2, X3) active(c_U71(tt, M, N)) -> mark(U72(isNat(N), M, N)) U31(c_mark(X1), X2) -> U31(X1, X2) isNat(c_mark(X)) -> isNat(X) U21(c_active(X)) -> U21(X) x(X1, c_mark(X2)) -> x(X1, X2) active(c_isNat(0)) -> mark(tt) U21(c_mark(X)) -> U21(X) U52(X1, c_active(X2), X3) -> U52(X1, X2, X3) U72(X1, X2, c_active(X3)) -> U72(X1, X2, X3) plus(X1, c_mark(X2)) -> plus(X1, X2) U71(c_mark(X1), X2, X3) -> U71(X1, X2, X3) mark(c_U12(X)) -> active(U12(mark(X))) active(c_U11(tt, V2)) -> mark(U12(isNat(V2))) U51(X1, X2, c_active(X3)) -> U51(X1, X2, X3) 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_plus(V1, V2))) -> mark(U11(isNat(V1), V2)) mark(c_U41(X1, X2)) -> active(U41(mark(X1), X2)) U41(X1, c_mark(X2)) -> U41(X1, X2) s(c_active(X)) -> s(X) U41(c_mark(X1), X2) -> U41(X1, X2) active(c_U31(tt, V2)) -> mark(U32(isNat(V2))) active(c_isNat(c_x(V1, V2))) -> mark(U31(isNat(V1), V2)) U72(X1, c_active(X2), X3) -> U72(X1, X2, X3) mark(c_U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(c_U72(X1, X2, X3)) -> active(U72(mark(X1), X2, X3)) mark(c_U61(X)) -> active(U61(mark(X))) U72(c_mark(X1), X2, X3) -> U72(X1, X2, X3) U52(X1, X2, c_active(X3)) -> U52(X1, X2, X3) s(c_mark(X)) -> s(X) U71(c_active(X1), X2, X3) -> U71(X1, X2, X3) plus(c_mark(X1), X2) -> plus(X1, X2) U71(X1, c_mark(X2), X3) -> U71(X1, X2, X3) U11(c_mark(X1), X2) -> U11(X1, X2) U11(X1, c_active(X2)) -> U11(X1, X2) mark(c_U52(X1, X2, X3)) -> active(U52(mark(X1), X2, X3)) U51(X1, X2, c_mark(X3)) -> U51(X1, X2, X3) U52(X1, c_mark(X2), X3) -> U52(X1, X2, X3) active(c_U72(tt, M, N)) -> mark(plus(x(N, M), N)) active(c_U41(tt, N)) -> mark(N) mark(c_isNat(X)) -> active(isNat(X)) U32(c_mark(X)) -> U32(X) active(c_x(N, 0)) -> mark(U61(isNat(N))) active(c_plus(N, c_s(M))) -> mark(U51(isNat(M), M, N)) U52(X1, X2, c_mark(X3)) -> U52(X1, X2, X3) plus(X1, c_active(X2)) -> plus(X1, X2) mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) U11(c_active(X1), X2) -> U11(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)) -> U11(encArg(x_1), encArg(x_2)) encArg(cons_U12(x_1)) -> U12(encArg(x_1)) encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) encArg(cons_U21(x_1)) -> U21(encArg(x_1)) encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) encArg(cons_U32(x_1)) -> U32(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_U52(x_1, x_2, x_3)) -> U52(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_U72(x_1, x_2, x_3)) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2)) encode_active(x_1) -> active(encArg(x_1)) encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) encode_tt -> tt encode_mark(x_1) -> mark(encArg(x_1)) encode_U12(x_1) -> U12(encArg(x_1)) encode_isNat(x_1) -> isNat(encArg(x_1)) encode_U21(x_1) -> U21(encArg(x_1)) encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) encode_U32(x_1) -> U32(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_U52(x_1, x_2, x_3) -> U52(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_U72(x_1, x_2, x_3) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) isNat(x0) -> c_isNat(x0) U72(x0, x1, x2) -> c_U72(x0, x1, x2) plus(x0, x1) -> c_plus(x0, x1) U12(x0) -> c_U12(x0) U31(x0, x1) -> c_U31(x0, x1) U32(x0) -> c_U32(x0) U52(x0, x1, x2) -> c_U52(x0, x1, x2) x(x0, x1) -> c_x(x0, x1) U21(x0) -> c_U21(x0) U11(x0, x1) -> c_U11(x0, x1) s(x0) -> c_s(x0) active(x0) -> c_active(x0) U41(x0, x1) -> c_U41(x0, x1) U71(x0, x1, x2) -> c_U71(x0, x1, x2) U51(x0, x1, x2) -> c_U51(x0, x1, x2) 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] U51(c_active(X1), X2, X3) -> U51(X1, X2, X3) [1] U71(X1, c_active(X2), X3) -> U71(X1, X2, X3) [1] U31(X1, c_active(X2)) -> U31(X1, X2) [1] mark(c_U31(X1, X2)) -> active(U31(mark(X1), X2)) [1] U72(X1, c_mark(X2), X3) -> U72(X1, X2, X3) [1] isNat(c_active(X)) -> isNat(X) [1] U71(X1, X2, c_mark(X3)) -> U71(X1, X2, X3) [1] U72(c_active(X1), X2, X3) -> U72(X1, X2, X3) [1] U32(c_active(X)) -> U32(X) [1] active(c_U51(tt, M, N)) -> mark(U52(isNat(N), M, N)) [1] U41(X1, c_active(X2)) -> U41(X1, X2) [1] active(c_U32(tt)) -> mark(tt) [1] x(c_active(X1), X2) -> x(X1, X2) [1] mark(c_U11(X1, X2)) -> active(U11(mark(X1), X2)) [1] U11(X1, c_mark(X2)) -> U11(X1, X2) [1] U52(c_mark(X1), X2, X3) -> U52(X1, X2, X3) [1] active(c_U52(tt, M, N)) -> mark(s(plus(N, M))) [1] active(c_U61(tt)) -> mark(0) [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] U31(c_active(X1), X2) -> U31(X1, X2) [1] U51(X1, c_active(X2), X3) -> U51(X1, X2, X3) [1] U52(c_active(X1), X2, X3) -> U52(X1, X2, X3) [1] U51(c_mark(X1), X2, X3) -> U51(X1, X2, X3) [1] active(c_U21(tt)) -> mark(tt) [1] active(c_isNat(c_s(V1))) -> mark(U21(isNat(V1))) [1] mark(c_U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) [1] U31(X1, c_mark(X2)) -> U31(X1, X2) [1] U61(c_active(X)) -> U61(X) [1] U41(c_active(X1), X2) -> U41(X1, X2) [1] U12(c_mark(X)) -> U12(X) [1] U12(c_active(X)) -> U12(X) [1] active(c_U12(tt)) -> mark(tt) [1] active(c_plus(N, 0)) -> mark(U41(isNat(N), N)) [1] mark(c_U21(X)) -> active(U21(mark(X))) [1] x(X1, c_active(X2)) -> x(X1, X2) [1] active(c_x(N, c_s(M))) -> mark(U71(isNat(M), M, N)) [1] U61(c_mark(X)) -> U61(X) [1] mark(c_U32(X)) -> active(U32(mark(X))) [1] U72(X1, X2, c_mark(X3)) -> U72(X1, X2, X3) [1] active(c_U71(tt, M, N)) -> mark(U72(isNat(N), M, N)) [1] U31(c_mark(X1), X2) -> U31(X1, X2) [1] isNat(c_mark(X)) -> isNat(X) [1] U21(c_active(X)) -> U21(X) [1] x(X1, c_mark(X2)) -> x(X1, X2) [1] active(c_isNat(0)) -> mark(tt) [1] U21(c_mark(X)) -> U21(X) [1] U52(X1, c_active(X2), X3) -> U52(X1, X2, X3) [1] U72(X1, X2, c_active(X3)) -> U72(X1, X2, X3) [1] plus(X1, c_mark(X2)) -> plus(X1, X2) [1] U71(c_mark(X1), X2, X3) -> U71(X1, X2, X3) [1] mark(c_U12(X)) -> active(U12(mark(X))) [1] active(c_U11(tt, V2)) -> mark(U12(isNat(V2))) [1] U51(X1, X2, c_active(X3)) -> U51(X1, X2, X3) [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_plus(V1, V2))) -> mark(U11(isNat(V1), V2)) [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] U41(c_mark(X1), X2) -> U41(X1, X2) [1] active(c_U31(tt, V2)) -> mark(U32(isNat(V2))) [1] active(c_isNat(c_x(V1, V2))) -> mark(U31(isNat(V1), V2)) [1] U72(X1, c_active(X2), X3) -> U72(X1, X2, X3) [1] mark(c_U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) [1] mark(c_U72(X1, X2, X3)) -> active(U72(mark(X1), X2, X3)) [1] mark(c_U61(X)) -> active(U61(mark(X))) [1] U72(c_mark(X1), X2, X3) -> U72(X1, X2, X3) [1] U52(X1, X2, c_active(X3)) -> U52(X1, X2, X3) [1] s(c_mark(X)) -> s(X) [1] U71(c_active(X1), X2, X3) -> U71(X1, X2, X3) [1] plus(c_mark(X1), X2) -> plus(X1, X2) [1] U71(X1, c_mark(X2), X3) -> U71(X1, X2, X3) [1] U11(c_mark(X1), X2) -> U11(X1, X2) [1] U11(X1, c_active(X2)) -> U11(X1, X2) [1] mark(c_U52(X1, X2, X3)) -> active(U52(mark(X1), X2, X3)) [1] U51(X1, X2, c_mark(X3)) -> U51(X1, X2, X3) [1] U52(X1, c_mark(X2), X3) -> U52(X1, X2, X3) [1] active(c_U72(tt, M, N)) -> mark(plus(x(N, M), N)) [1] active(c_U41(tt, N)) -> mark(N) [1] mark(c_isNat(X)) -> active(isNat(X)) [1] U32(c_mark(X)) -> U32(X) [1] active(c_x(N, 0)) -> mark(U61(isNat(N))) [1] active(c_plus(N, c_s(M))) -> mark(U51(isNat(M), M, N)) [1] U52(X1, X2, c_mark(X3)) -> U52(X1, X2, X3) [1] plus(X1, c_active(X2)) -> plus(X1, X2) [1] mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1] U11(c_active(X1), X2) -> U11(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)) -> U11(encArg(x_1), encArg(x_2)) [0] encArg(cons_U12(x_1)) -> U12(encArg(x_1)) [0] encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0] encArg(cons_U21(x_1)) -> U21(encArg(x_1)) [0] encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) [0] encArg(cons_U32(x_1)) -> U32(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_U52(x_1, x_2, x_3)) -> U52(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_U72(x_1, x_2, x_3)) -> U72(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] encode_active(x_1) -> active(encArg(x_1)) [0] encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) [0] encode_tt -> tt [0] encode_mark(x_1) -> mark(encArg(x_1)) [0] encode_U12(x_1) -> U12(encArg(x_1)) [0] encode_isNat(x_1) -> isNat(encArg(x_1)) [0] encode_U21(x_1) -> U21(encArg(x_1)) [0] encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) [0] encode_U32(x_1) -> U32(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_U52(x_1, x_2, x_3) -> U52(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_U72(x_1, x_2, x_3) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) [0] isNat(x0) -> c_isNat(x0) [0] U72(x0, x1, x2) -> c_U72(x0, x1, x2) [0] plus(x0, x1) -> c_plus(x0, x1) [0] U12(x0) -> c_U12(x0) [0] U31(x0, x1) -> c_U31(x0, x1) [0] U32(x0) -> c_U32(x0) [0] U52(x0, x1, x2) -> c_U52(x0, x1, x2) [0] x(x0, x1) -> c_x(x0, x1) [0] U21(x0) -> c_U21(x0) [0] U11(x0, x1) -> c_U11(x0, x1) [0] s(x0) -> c_s(x0) [0] active(x0) -> c_active(x0) [0] U41(x0, x1) -> c_U41(x0, x1) [0] U71(x0, x1, x2) -> c_U71(x0, x1, x2) [0] U51(x0, x1, x2) -> c_U51(x0, x1, x2) [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] U51(c_active(X1), X2, X3) -> U51(X1, X2, X3) [1] U71(X1, c_active(X2), X3) -> U71(X1, X2, X3) [1] U31(X1, c_active(X2)) -> U31(X1, X2) [1] mark(c_U31(X1, X2)) -> active(U31(mark(X1), X2)) [1] U72(X1, c_mark(X2), X3) -> U72(X1, X2, X3) [1] isNat(c_active(X)) -> isNat(X) [1] U71(X1, X2, c_mark(X3)) -> U71(X1, X2, X3) [1] U72(c_active(X1), X2, X3) -> U72(X1, X2, X3) [1] U32(c_active(X)) -> U32(X) [1] active(c_U51(tt, M, N)) -> mark(U52(isNat(N), M, N)) [1] U41(X1, c_active(X2)) -> U41(X1, X2) [1] active(c_U32(tt)) -> mark(tt) [1] x(c_active(X1), X2) -> x(X1, X2) [1] mark(c_U11(X1, X2)) -> active(U11(mark(X1), X2)) [1] U11(X1, c_mark(X2)) -> U11(X1, X2) [1] U52(c_mark(X1), X2, X3) -> U52(X1, X2, X3) [1] active(c_U52(tt, M, N)) -> mark(s(plus(N, M))) [1] active(c_U61(tt)) -> mark(0) [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] U31(c_active(X1), X2) -> U31(X1, X2) [1] U51(X1, c_active(X2), X3) -> U51(X1, X2, X3) [1] U52(c_active(X1), X2, X3) -> U52(X1, X2, X3) [1] U51(c_mark(X1), X2, X3) -> U51(X1, X2, X3) [1] active(c_U21(tt)) -> mark(tt) [1] active(c_isNat(c_s(V1))) -> mark(U21(isNat(V1))) [1] mark(c_U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) [1] U31(X1, c_mark(X2)) -> U31(X1, X2) [1] U61(c_active(X)) -> U61(X) [1] U41(c_active(X1), X2) -> U41(X1, X2) [1] U12(c_mark(X)) -> U12(X) [1] U12(c_active(X)) -> U12(X) [1] active(c_U12(tt)) -> mark(tt) [1] active(c_plus(N, 0)) -> mark(U41(isNat(N), N)) [1] mark(c_U21(X)) -> active(U21(mark(X))) [1] x(X1, c_active(X2)) -> x(X1, X2) [1] active(c_x(N, c_s(M))) -> mark(U71(isNat(M), M, N)) [1] U61(c_mark(X)) -> U61(X) [1] mark(c_U32(X)) -> active(U32(mark(X))) [1] U72(X1, X2, c_mark(X3)) -> U72(X1, X2, X3) [1] active(c_U71(tt, M, N)) -> mark(U72(isNat(N), M, N)) [1] U31(c_mark(X1), X2) -> U31(X1, X2) [1] isNat(c_mark(X)) -> isNat(X) [1] U21(c_active(X)) -> U21(X) [1] x(X1, c_mark(X2)) -> x(X1, X2) [1] active(c_isNat(0)) -> mark(tt) [1] U21(c_mark(X)) -> U21(X) [1] U52(X1, c_active(X2), X3) -> U52(X1, X2, X3) [1] U72(X1, X2, c_active(X3)) -> U72(X1, X2, X3) [1] plus(X1, c_mark(X2)) -> plus(X1, X2) [1] U71(c_mark(X1), X2, X3) -> U71(X1, X2, X3) [1] mark(c_U12(X)) -> active(U12(mark(X))) [1] active(c_U11(tt, V2)) -> mark(U12(isNat(V2))) [1] U51(X1, X2, c_active(X3)) -> U51(X1, X2, X3) [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_plus(V1, V2))) -> mark(U11(isNat(V1), V2)) [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] U41(c_mark(X1), X2) -> U41(X1, X2) [1] active(c_U31(tt, V2)) -> mark(U32(isNat(V2))) [1] active(c_isNat(c_x(V1, V2))) -> mark(U31(isNat(V1), V2)) [1] U72(X1, c_active(X2), X3) -> U72(X1, X2, X3) [1] mark(c_U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) [1] mark(c_U72(X1, X2, X3)) -> active(U72(mark(X1), X2, X3)) [1] mark(c_U61(X)) -> active(U61(mark(X))) [1] U72(c_mark(X1), X2, X3) -> U72(X1, X2, X3) [1] U52(X1, X2, c_active(X3)) -> U52(X1, X2, X3) [1] s(c_mark(X)) -> s(X) [1] U71(c_active(X1), X2, X3) -> U71(X1, X2, X3) [1] plus(c_mark(X1), X2) -> plus(X1, X2) [1] U71(X1, c_mark(X2), X3) -> U71(X1, X2, X3) [1] U11(c_mark(X1), X2) -> U11(X1, X2) [1] U11(X1, c_active(X2)) -> U11(X1, X2) [1] mark(c_U52(X1, X2, X3)) -> active(U52(mark(X1), X2, X3)) [1] U51(X1, X2, c_mark(X3)) -> U51(X1, X2, X3) [1] U52(X1, c_mark(X2), X3) -> U52(X1, X2, X3) [1] active(c_U72(tt, M, N)) -> mark(plus(x(N, M), N)) [1] active(c_U41(tt, N)) -> mark(N) [1] mark(c_isNat(X)) -> active(isNat(X)) [1] U32(c_mark(X)) -> U32(X) [1] active(c_x(N, 0)) -> mark(U61(isNat(N))) [1] active(c_plus(N, c_s(M))) -> mark(U51(isNat(M), M, N)) [1] U52(X1, X2, c_mark(X3)) -> U52(X1, X2, X3) [1] plus(X1, c_active(X2)) -> plus(X1, X2) [1] mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1] U11(c_active(X1), X2) -> U11(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)) -> U11(encArg(x_1), encArg(x_2)) [0] encArg(cons_U12(x_1)) -> U12(encArg(x_1)) [0] encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0] encArg(cons_U21(x_1)) -> U21(encArg(x_1)) [0] encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) [0] encArg(cons_U32(x_1)) -> U32(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_U52(x_1, x_2, x_3)) -> U52(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_U72(x_1, x_2, x_3)) -> U72(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] encode_active(x_1) -> active(encArg(x_1)) [0] encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) [0] encode_tt -> tt [0] encode_mark(x_1) -> mark(encArg(x_1)) [0] encode_U12(x_1) -> U12(encArg(x_1)) [0] encode_isNat(x_1) -> isNat(encArg(x_1)) [0] encode_U21(x_1) -> U21(encArg(x_1)) [0] encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) [0] encode_U32(x_1) -> U32(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_U52(x_1, x_2, x_3) -> U52(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_U72(x_1, x_2, x_3) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) [0] isNat(x0) -> c_isNat(x0) [0] U72(x0, x1, x2) -> c_U72(x0, x1, x2) [0] plus(x0, x1) -> c_plus(x0, x1) [0] U12(x0) -> c_U12(x0) [0] U31(x0, x1) -> c_U31(x0, x1) [0] U32(x0) -> c_U32(x0) [0] U52(x0, x1, x2) -> c_U52(x0, x1, x2) [0] x(x0, x1) -> c_x(x0, x1) [0] U21(x0) -> c_U21(x0) [0] U11(x0, x1) -> c_U11(x0, x1) [0] s(x0) -> c_s(x0) [0] active(x0) -> c_active(x0) [0] U41(x0, x1) -> c_U41(x0, x1) [0] U71(x0, x1, x2) -> c_U71(x0, x1, x2) [0] U51(x0, x1, x2) -> c_U51(x0, x1, x2) [0] U61(x0) -> c_U61(x0) [0] mark(x0) -> c_mark(x0) [0] The TRS has the following type information: mark :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x tt :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x active :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x 0 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U51 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_active :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U71 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U31 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_U31 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U72 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_mark :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x isNat :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U32 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_U51 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U52 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U41 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_U32 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x x :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_U11 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U11 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_U52 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x s :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x plus :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_U61 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_x :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_U21 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_isNat :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_s :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U21 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_U71 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U61 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x U12 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_U12 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_plus :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_U41 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x c_U72 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encArg :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_active :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_mark :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U11 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U12 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_isNat :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U21 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U31 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U32 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U41 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U51 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U52 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_s :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_plus :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U61 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U71 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_U72 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x cons_x :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_active :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U11 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_tt :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_mark :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U12 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_isNat :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U21 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U31 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U32 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U41 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U51 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U52 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_s :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_plus :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U61 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_0 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U71 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_U72 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x encode_x :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x Rewrite Strategy: INNERMOST ---------------------------------------- (21) CompletionProof (UPPER BOUND(ID)) The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added: encArg(v0) -> null_encArg [0] encode_active(v0) -> null_encode_active [0] encode_U11(v0, v1) -> null_encode_U11 [0] encode_tt -> null_encode_tt [0] encode_mark(v0) -> null_encode_mark [0] encode_U12(v0) -> null_encode_U12 [0] encode_isNat(v0) -> null_encode_isNat [0] encode_U21(v0) -> null_encode_U21 [0] encode_U31(v0, v1) -> null_encode_U31 [0] encode_U32(v0) -> null_encode_U32 [0] encode_U41(v0, v1) -> null_encode_U41 [0] encode_U51(v0, v1, v2) -> null_encode_U51 [0] encode_U52(v0, v1, v2) -> null_encode_U52 [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_U72(v0, v1, v2) -> null_encode_U72 [0] encode_x(v0, v1) -> null_encode_x [0] isNat(v0) -> null_isNat [0] U72(v0, v1, v2) -> null_U72 [0] plus(v0, v1) -> null_plus [0] U12(v0) -> null_U12 [0] U31(v0, v1) -> null_U31 [0] U32(v0) -> null_U32 [0] U52(v0, v1, v2) -> null_U52 [0] x(v0, v1) -> null_x [0] U21(v0) -> null_U21 [0] U11(v0, v1) -> null_U11 [0] s(v0) -> null_s [0] active(v0) -> null_active [0] U41(v0, v1) -> null_U41 [0] U71(v0, v1, v2) -> null_U71 [0] U51(v0, v1, v2) -> null_U51 [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_U21, null_encode_U31, null_encode_U32, null_encode_U41, null_encode_U51, null_encode_U52, null_encode_s, null_encode_plus, null_encode_U61, null_encode_0, null_encode_U71, null_encode_U72, null_encode_x, null_isNat, null_U72, null_plus, null_U12, null_U31, null_U32, null_U52, null_x, null_U21, null_U11, null_s, null_active, null_U41, null_U71, null_U51, null_U61, null_mark ---------------------------------------- (22) Obligation: Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: mark(tt) -> active(tt) [1] mark(0) -> active(0) [1] U51(c_active(X1), X2, X3) -> U51(X1, X2, X3) [1] U71(X1, c_active(X2), X3) -> U71(X1, X2, X3) [1] U31(X1, c_active(X2)) -> U31(X1, X2) [1] mark(c_U31(X1, X2)) -> active(U31(mark(X1), X2)) [1] U72(X1, c_mark(X2), X3) -> U72(X1, X2, X3) [1] isNat(c_active(X)) -> isNat(X) [1] U71(X1, X2, c_mark(X3)) -> U71(X1, X2, X3) [1] U72(c_active(X1), X2, X3) -> U72(X1, X2, X3) [1] U32(c_active(X)) -> U32(X) [1] active(c_U51(tt, M, N)) -> mark(U52(isNat(N), M, N)) [1] U41(X1, c_active(X2)) -> U41(X1, X2) [1] active(c_U32(tt)) -> mark(tt) [1] x(c_active(X1), X2) -> x(X1, X2) [1] mark(c_U11(X1, X2)) -> active(U11(mark(X1), X2)) [1] U11(X1, c_mark(X2)) -> U11(X1, X2) [1] U52(c_mark(X1), X2, X3) -> U52(X1, X2, X3) [1] active(c_U52(tt, M, N)) -> mark(s(plus(N, M))) [1] active(c_U61(tt)) -> mark(0) [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] U31(c_active(X1), X2) -> U31(X1, X2) [1] U51(X1, c_active(X2), X3) -> U51(X1, X2, X3) [1] U52(c_active(X1), X2, X3) -> U52(X1, X2, X3) [1] U51(c_mark(X1), X2, X3) -> U51(X1, X2, X3) [1] active(c_U21(tt)) -> mark(tt) [1] active(c_isNat(c_s(V1))) -> mark(U21(isNat(V1))) [1] mark(c_U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) [1] U31(X1, c_mark(X2)) -> U31(X1, X2) [1] U61(c_active(X)) -> U61(X) [1] U41(c_active(X1), X2) -> U41(X1, X2) [1] U12(c_mark(X)) -> U12(X) [1] U12(c_active(X)) -> U12(X) [1] active(c_U12(tt)) -> mark(tt) [1] active(c_plus(N, 0)) -> mark(U41(isNat(N), N)) [1] mark(c_U21(X)) -> active(U21(mark(X))) [1] x(X1, c_active(X2)) -> x(X1, X2) [1] active(c_x(N, c_s(M))) -> mark(U71(isNat(M), M, N)) [1] U61(c_mark(X)) -> U61(X) [1] mark(c_U32(X)) -> active(U32(mark(X))) [1] U72(X1, X2, c_mark(X3)) -> U72(X1, X2, X3) [1] active(c_U71(tt, M, N)) -> mark(U72(isNat(N), M, N)) [1] U31(c_mark(X1), X2) -> U31(X1, X2) [1] isNat(c_mark(X)) -> isNat(X) [1] U21(c_active(X)) -> U21(X) [1] x(X1, c_mark(X2)) -> x(X1, X2) [1] active(c_isNat(0)) -> mark(tt) [1] U21(c_mark(X)) -> U21(X) [1] U52(X1, c_active(X2), X3) -> U52(X1, X2, X3) [1] U72(X1, X2, c_active(X3)) -> U72(X1, X2, X3) [1] plus(X1, c_mark(X2)) -> plus(X1, X2) [1] U71(c_mark(X1), X2, X3) -> U71(X1, X2, X3) [1] mark(c_U12(X)) -> active(U12(mark(X))) [1] active(c_U11(tt, V2)) -> mark(U12(isNat(V2))) [1] U51(X1, X2, c_active(X3)) -> U51(X1, X2, X3) [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_plus(V1, V2))) -> mark(U11(isNat(V1), V2)) [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] U41(c_mark(X1), X2) -> U41(X1, X2) [1] active(c_U31(tt, V2)) -> mark(U32(isNat(V2))) [1] active(c_isNat(c_x(V1, V2))) -> mark(U31(isNat(V1), V2)) [1] U72(X1, c_active(X2), X3) -> U72(X1, X2, X3) [1] mark(c_U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) [1] mark(c_U72(X1, X2, X3)) -> active(U72(mark(X1), X2, X3)) [1] mark(c_U61(X)) -> active(U61(mark(X))) [1] U72(c_mark(X1), X2, X3) -> U72(X1, X2, X3) [1] U52(X1, X2, c_active(X3)) -> U52(X1, X2, X3) [1] s(c_mark(X)) -> s(X) [1] U71(c_active(X1), X2, X3) -> U71(X1, X2, X3) [1] plus(c_mark(X1), X2) -> plus(X1, X2) [1] U71(X1, c_mark(X2), X3) -> U71(X1, X2, X3) [1] U11(c_mark(X1), X2) -> U11(X1, X2) [1] U11(X1, c_active(X2)) -> U11(X1, X2) [1] mark(c_U52(X1, X2, X3)) -> active(U52(mark(X1), X2, X3)) [1] U51(X1, X2, c_mark(X3)) -> U51(X1, X2, X3) [1] U52(X1, c_mark(X2), X3) -> U52(X1, X2, X3) [1] active(c_U72(tt, M, N)) -> mark(plus(x(N, M), N)) [1] active(c_U41(tt, N)) -> mark(N) [1] mark(c_isNat(X)) -> active(isNat(X)) [1] U32(c_mark(X)) -> U32(X) [1] active(c_x(N, 0)) -> mark(U61(isNat(N))) [1] active(c_plus(N, c_s(M))) -> mark(U51(isNat(M), M, N)) [1] U52(X1, X2, c_mark(X3)) -> U52(X1, X2, X3) [1] plus(X1, c_active(X2)) -> plus(X1, X2) [1] mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1] U11(c_active(X1), X2) -> U11(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)) -> U11(encArg(x_1), encArg(x_2)) [0] encArg(cons_U12(x_1)) -> U12(encArg(x_1)) [0] encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0] encArg(cons_U21(x_1)) -> U21(encArg(x_1)) [0] encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) [0] encArg(cons_U32(x_1)) -> U32(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_U52(x_1, x_2, x_3)) -> U52(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_U72(x_1, x_2, x_3)) -> U72(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] encode_active(x_1) -> active(encArg(x_1)) [0] encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) [0] encode_tt -> tt [0] encode_mark(x_1) -> mark(encArg(x_1)) [0] encode_U12(x_1) -> U12(encArg(x_1)) [0] encode_isNat(x_1) -> isNat(encArg(x_1)) [0] encode_U21(x_1) -> U21(encArg(x_1)) [0] encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) [0] encode_U32(x_1) -> U32(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_U52(x_1, x_2, x_3) -> U52(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_U72(x_1, x_2, x_3) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) [0] isNat(x0) -> c_isNat(x0) [0] U72(x0, x1, x2) -> c_U72(x0, x1, x2) [0] plus(x0, x1) -> c_plus(x0, x1) [0] U12(x0) -> c_U12(x0) [0] U31(x0, x1) -> c_U31(x0, x1) [0] U32(x0) -> c_U32(x0) [0] U52(x0, x1, x2) -> c_U52(x0, x1, x2) [0] x(x0, x1) -> c_x(x0, x1) [0] U21(x0) -> c_U21(x0) [0] U11(x0, x1) -> c_U11(x0, x1) [0] s(x0) -> c_s(x0) [0] active(x0) -> c_active(x0) [0] U41(x0, x1) -> c_U41(x0, x1) [0] U71(x0, x1, x2) -> c_U71(x0, x1, x2) [0] U51(x0, x1, x2) -> c_U51(x0, x1, x2) [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) -> null_encode_U11 [0] encode_tt -> null_encode_tt [0] encode_mark(v0) -> null_encode_mark [0] encode_U12(v0) -> null_encode_U12 [0] encode_isNat(v0) -> null_encode_isNat [0] encode_U21(v0) -> null_encode_U21 [0] encode_U31(v0, v1) -> null_encode_U31 [0] encode_U32(v0) -> null_encode_U32 [0] encode_U41(v0, v1) -> null_encode_U41 [0] encode_U51(v0, v1, v2) -> null_encode_U51 [0] encode_U52(v0, v1, v2) -> null_encode_U52 [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_U72(v0, v1, v2) -> null_encode_U72 [0] encode_x(v0, v1) -> null_encode_x [0] isNat(v0) -> null_isNat [0] U72(v0, v1, v2) -> null_U72 [0] plus(v0, v1) -> null_plus [0] U12(v0) -> null_U12 [0] U31(v0, v1) -> null_U31 [0] U32(v0) -> null_U32 [0] U52(v0, v1, v2) -> null_U52 [0] x(v0, v1) -> null_x [0] U21(v0) -> null_U21 [0] U11(v0, v1) -> null_U11 [0] s(v0) -> null_s [0] active(v0) -> null_active [0] U41(v0, v1) -> null_U41 [0] U71(v0, v1, v2) -> null_U71 [0] U51(v0, v1, v2) -> null_U51 [0] U61(v0) -> null_U61 [0] mark(v0) -> null_mark [0] The TRS has the following type information: mark :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark tt :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark active :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark 0 :: 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tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark encode_mark :: 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tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark -> 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tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark encode_U52 :: 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tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark encode_U72 :: 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tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark Rewrite Strategy: INNERMOST ---------------------------------------- (23) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: tt => 1 0 => 0 null_encArg => 0 null_encode_active => 0 null_encode_U11 => 0 null_encode_tt => 0 null_encode_mark => 0 null_encode_U12 => 0 null_encode_isNat => 0 null_encode_U21 => 0 null_encode_U31 => 0 null_encode_U32 => 0 null_encode_U41 => 0 null_encode_U51 => 0 null_encode_U52 => 0 null_encode_s => 0 null_encode_plus => 0 null_encode_U61 => 0 null_encode_0 => 0 null_encode_U71 => 0 null_encode_U72 => 0 null_encode_x => 0 null_isNat => 0 null_U72 => 0 null_plus => 0 null_U12 => 0 null_U31 => 0 null_U32 => 0 null_U52 => 0 null_x => 0 null_U21 => 0 null_U11 => 0 null_s => 0 null_active => 0 null_U41 => 0 null_U71 => 0 null_U51 => 0 null_U61 => 0 null_mark => 0 ---------------------------------------- (24) Obligation: Complexity RNTS consisting of the following rules: U11(z, z') -{ 1 }-> U11(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1 U11(z, z') -{ 1 }-> U11(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2 U11(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 U11(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1 U12(z) -{ 1 }-> U12(X) :|: z = 1 + X, X >= 0 U12(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 U12(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 U21(z) -{ 1 }-> U21(X) :|: z = 1 + X, X >= 0 U21(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 U21(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 U31(z, z') -{ 1 }-> U31(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1 U31(z, z') -{ 1 }-> U31(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2 U31(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 U31(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1 U32(z) -{ 1 }-> U32(X) :|: z = 1 + X, X >= 0 U32(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 U32(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, z = 1 + X1, X3 >= 0, X2 >= 0, z' = X2, z'' = X3 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, 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 U52(z, z', z'') -{ 1 }-> U52(X1, X2, X3) :|: X1 >= 0, z = 1 + X1, X3 >= 0, X2 >= 0, z' = X2, z'' = X3 U52(z, z', z'') -{ 1 }-> U52(X1, X2, X3) :|: X1 >= 0, X3 >= 0, z' = 1 + X2, X2 >= 0, z = X1, z'' = X3 U52(z, z', z'') -{ 1 }-> U52(X1, X2, X3) :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = 1 + X3 U52(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 U52(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 U72(z, z', z'') -{ 1 }-> U72(X1, X2, X3) :|: X1 >= 0, X3 >= 0, z' = 1 + X2, X2 >= 0, z = X1, z'' = X3 U72(z, z', z'') -{ 1 }-> U72(X1, X2, X3) :|: X1 >= 0, z = 1 + X1, X3 >= 0, X2 >= 0, z' = X2, z'' = X3 U72(z, z', z'') -{ 1 }-> U72(X1, X2, X3) :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = 1 + X3 U72(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 U72(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(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(U72(isNat(N), M, N)) :|: z = 1 + 1 + M + N, M >= 0, N >= 0 active(z) -{ 1 }-> mark(U71(isNat(M), M, N)) :|: M >= 0, z = 1 + N + (1 + M), N >= 0 active(z) -{ 1 }-> mark(U61(isNat(N))) :|: z = 1 + N + 0, N >= 0 active(z) -{ 1 }-> mark(U52(isNat(N), M, N)) :|: z = 1 + 1 + M + N, M >= 0, N >= 0 active(z) -{ 1 }-> mark(U51(isNat(M), M, N)) :|: M >= 0, z = 1 + N + (1 + M), N >= 0 active(z) -{ 1 }-> mark(U41(isNat(N), N)) :|: z = 1 + N + 0, N >= 0 active(z) -{ 1 }-> mark(U32(isNat(V2))) :|: z = 1 + 1 + V2, V2 >= 0 active(z) -{ 1 }-> mark(U31(isNat(V1), V2)) :|: V1 >= 0, V2 >= 0, z = 1 + (1 + V1 + V2) active(z) -{ 1 }-> mark(U21(isNat(V1))) :|: V1 >= 0, z = 1 + (1 + V1) active(z) -{ 1 }-> mark(U12(isNat(V2))) :|: z = 1 + 1 + V2, V2 >= 0 active(z) -{ 1 }-> mark(U11(isNat(V1), V2)) :|: V1 >= 0, V2 >= 0, z = 1 + (1 + V1 + V2) active(z) -{ 1 }-> mark(1) :|: z = 1 + 1 active(z) -{ 1 }-> mark(1) :|: z = 1 + 0 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 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 }-> isNat(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> active(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> U72(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 }-> 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 }-> U52(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 }-> 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 }-> U32(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> U31(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> U21(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> U12(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> U11(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> 1 :|: z = 1 encArg(z) -{ 0 }-> 0 :|: z = 0 encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_0 -{ 0 }-> 0 :|: encode_U11(z, z') -{ 0 }-> U11(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2 encode_U11(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 encode_U12(z) -{ 0 }-> U12(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_U12(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_U21(z) -{ 0 }-> U21(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_U21(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_U31(z, z') -{ 0 }-> U31(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2 encode_U31(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 encode_U32(z) -{ 0 }-> U32(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_U32(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_U52(z, z', z'') -{ 0 }-> U52(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_U52(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_U72(z, z', z'') -{ 0 }-> U72(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_U72(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_isNat(z) -{ 0 }-> isNat(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_isNat(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 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(isNat(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> active(U72(mark(X1), X2, X3)) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 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(U52(mark(X1), X2, X3)) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 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(U32(mark(X))) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> active(U31(mark(X1), X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> active(U21(mark(X))) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> active(U12(mark(X))) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> active(U11(mark(X1), X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> active(1) :|: z = 1 mark(z) -{ 1 }-> active(0) :|: z = 0 mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 mark(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 plus(z, z') -{ 1 }-> plus(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1 plus(z, z') -{ 1 }-> plus(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2 plus(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 plus(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1 s(z) -{ 1 }-> s(X) :|: z = 1 + X, X >= 0 s(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 s(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 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. ---------------------------------------- (25) CompletionProof (UPPER BOUND(ID)) The transformation into a RNTS is sound, since: (a) The obligation is a constructor system where every type has a constant constructor, (b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols: none (c) The following functions are completely defined: encArg_1 encode_active_1 encode_U11_2 encode_tt encode_mark_1 encode_U12_1 encode_isNat_1 encode_U21_1 encode_U31_2 encode_U32_1 encode_U41_2 encode_U51_3 encode_U52_3 encode_s_1 encode_plus_2 encode_U61_1 encode_0 encode_U71_3 encode_U72_3 encode_x_2 isNat_1 U72_3 plus_2 U12_1 U31_2 U32_1 U52_3 x_2 U21_1 U11_2 s_1 active_1 U41_2 U71_3 U51_3 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) -> null_encode_U11 [0] encode_tt -> null_encode_tt [0] encode_mark(v0) -> null_encode_mark [0] encode_U12(v0) -> null_encode_U12 [0] encode_isNat(v0) -> null_encode_isNat [0] encode_U21(v0) -> null_encode_U21 [0] encode_U31(v0, v1) -> null_encode_U31 [0] encode_U32(v0) -> null_encode_U32 [0] encode_U41(v0, v1) -> null_encode_U41 [0] encode_U51(v0, v1, v2) -> null_encode_U51 [0] encode_U52(v0, v1, v2) -> null_encode_U52 [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_U72(v0, v1, v2) -> null_encode_U72 [0] encode_x(v0, v1) -> null_encode_x [0] isNat(v0) -> null_isNat [0] U72(v0, v1, v2) -> null_U72 [0] plus(v0, v1) -> null_plus [0] U12(v0) -> null_U12 [0] U31(v0, v1) -> null_U31 [0] U32(v0) -> null_U32 [0] U52(v0, v1, v2) -> null_U52 [0] x(v0, v1) -> null_x [0] U21(v0) -> null_U21 [0] U11(v0, v1) -> null_U11 [0] s(v0) -> null_s [0] active(v0) -> null_active [0] U41(v0, v1) -> null_U41 [0] U71(v0, v1, v2) -> null_U71 [0] U51(v0, v1, v2) -> null_U51 [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_U21, null_encode_U31, null_encode_U32, null_encode_U41, null_encode_U51, null_encode_U52, null_encode_s, null_encode_plus, null_encode_U61, null_encode_0, null_encode_U71, null_encode_U72, null_encode_x, null_isNat, null_U72, null_plus, null_U12, null_U31, null_U32, null_U52, null_x, null_U21, null_U11, null_s, null_active, null_U41, null_U71, null_U51, null_U61, null_mark ---------------------------------------- (26) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: mark(tt) -> active(tt) [1] mark(0) -> active(0) [1] U51(c_active(X1), X2, X3) -> U51(X1, X2, X3) [1] U71(X1, c_active(X2), X3) -> U71(X1, X2, X3) [1] U31(X1, c_active(X2)) -> U31(X1, X2) [1] mark(c_U31(X1, X2)) -> active(U31(mark(X1), X2)) [1] U72(X1, c_mark(X2), X3) -> U72(X1, X2, X3) [1] isNat(c_active(X)) -> isNat(X) [1] U71(X1, X2, c_mark(X3)) -> U71(X1, X2, X3) [1] U72(c_active(X1), X2, X3) -> U72(X1, X2, X3) [1] U32(c_active(X)) -> U32(X) [1] active(c_U51(tt, M, N)) -> mark(U52(isNat(N), M, N)) [1] U41(X1, c_active(X2)) -> U41(X1, X2) [1] active(c_U32(tt)) -> mark(tt) [1] x(c_active(X1), X2) -> x(X1, X2) [1] mark(c_U11(X1, X2)) -> active(U11(mark(X1), X2)) [1] U11(X1, c_mark(X2)) -> U11(X1, X2) [1] U52(c_mark(X1), X2, X3) -> U52(X1, X2, X3) [1] active(c_U52(tt, M, N)) -> mark(s(plus(N, M))) [1] active(c_U61(tt)) -> mark(0) [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] U31(c_active(X1), X2) -> U31(X1, X2) [1] U51(X1, c_active(X2), X3) -> U51(X1, X2, X3) [1] U52(c_active(X1), X2, X3) -> U52(X1, X2, X3) [1] U51(c_mark(X1), X2, X3) -> U51(X1, X2, X3) [1] active(c_U21(tt)) -> mark(tt) [1] active(c_isNat(c_s(V1))) -> mark(U21(isNat(V1))) [1] mark(c_U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) [1] U31(X1, c_mark(X2)) -> U31(X1, X2) [1] U61(c_active(X)) -> U61(X) [1] U41(c_active(X1), X2) -> U41(X1, X2) [1] U12(c_mark(X)) -> U12(X) [1] U12(c_active(X)) -> U12(X) [1] active(c_U12(tt)) -> mark(tt) [1] active(c_plus(N, 0)) -> mark(U41(isNat(N), N)) [1] mark(c_U21(X)) -> active(U21(mark(X))) [1] x(X1, c_active(X2)) -> x(X1, X2) [1] active(c_x(N, c_s(M))) -> mark(U71(isNat(M), M, N)) [1] U61(c_mark(X)) -> U61(X) [1] mark(c_U32(X)) -> active(U32(mark(X))) [1] U72(X1, X2, c_mark(X3)) -> U72(X1, X2, X3) [1] active(c_U71(tt, M, N)) -> mark(U72(isNat(N), M, N)) [1] U31(c_mark(X1), X2) -> U31(X1, X2) [1] isNat(c_mark(X)) -> isNat(X) [1] U21(c_active(X)) -> U21(X) [1] x(X1, c_mark(X2)) -> x(X1, X2) [1] active(c_isNat(0)) -> mark(tt) [1] U21(c_mark(X)) -> U21(X) [1] U52(X1, c_active(X2), X3) -> U52(X1, X2, X3) [1] U72(X1, X2, c_active(X3)) -> U72(X1, X2, X3) [1] plus(X1, c_mark(X2)) -> plus(X1, X2) [1] U71(c_mark(X1), X2, X3) -> U71(X1, X2, X3) [1] mark(c_U12(X)) -> active(U12(mark(X))) [1] active(c_U11(tt, V2)) -> mark(U12(isNat(V2))) [1] U51(X1, X2, c_active(X3)) -> U51(X1, X2, X3) [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_plus(V1, V2))) -> mark(U11(isNat(V1), V2)) [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] U41(c_mark(X1), X2) -> U41(X1, X2) [1] active(c_U31(tt, V2)) -> mark(U32(isNat(V2))) [1] active(c_isNat(c_x(V1, V2))) -> mark(U31(isNat(V1), V2)) [1] U72(X1, c_active(X2), X3) -> U72(X1, X2, X3) [1] mark(c_U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) [1] mark(c_U72(X1, X2, X3)) -> active(U72(mark(X1), X2, X3)) [1] mark(c_U61(X)) -> active(U61(mark(X))) [1] U72(c_mark(X1), X2, X3) -> U72(X1, X2, X3) [1] U52(X1, X2, c_active(X3)) -> U52(X1, X2, X3) [1] s(c_mark(X)) -> s(X) [1] U71(c_active(X1), X2, X3) -> U71(X1, X2, X3) [1] plus(c_mark(X1), X2) -> plus(X1, X2) [1] U71(X1, c_mark(X2), X3) -> U71(X1, X2, X3) [1] U11(c_mark(X1), X2) -> U11(X1, X2) [1] U11(X1, c_active(X2)) -> U11(X1, X2) [1] mark(c_U52(X1, X2, X3)) -> active(U52(mark(X1), X2, X3)) [1] U51(X1, X2, c_mark(X3)) -> U51(X1, X2, X3) [1] U52(X1, c_mark(X2), X3) -> U52(X1, X2, X3) [1] active(c_U72(tt, M, N)) -> mark(plus(x(N, M), N)) [1] active(c_U41(tt, N)) -> mark(N) [1] mark(c_isNat(X)) -> active(isNat(X)) [1] U32(c_mark(X)) -> U32(X) [1] active(c_x(N, 0)) -> mark(U61(isNat(N))) [1] active(c_plus(N, c_s(M))) -> mark(U51(isNat(M), M, N)) [1] U52(X1, X2, c_mark(X3)) -> U52(X1, X2, X3) [1] plus(X1, c_active(X2)) -> plus(X1, X2) [1] mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1] U11(c_active(X1), X2) -> U11(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)) -> U11(encArg(x_1), encArg(x_2)) [0] encArg(cons_U12(x_1)) -> U12(encArg(x_1)) [0] encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0] encArg(cons_U21(x_1)) -> U21(encArg(x_1)) [0] encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) [0] encArg(cons_U32(x_1)) -> U32(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_U52(x_1, x_2, x_3)) -> U52(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_U72(x_1, x_2, x_3)) -> U72(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] encode_active(x_1) -> active(encArg(x_1)) [0] encode_U11(x_1, x_2) -> U11(encArg(x_1), encArg(x_2)) [0] encode_tt -> tt [0] encode_mark(x_1) -> mark(encArg(x_1)) [0] encode_U12(x_1) -> U12(encArg(x_1)) [0] encode_isNat(x_1) -> isNat(encArg(x_1)) [0] encode_U21(x_1) -> U21(encArg(x_1)) [0] encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) [0] encode_U32(x_1) -> U32(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_U52(x_1, x_2, x_3) -> U52(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_U72(x_1, x_2, x_3) -> U72(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) [0] isNat(x0) -> c_isNat(x0) [0] U72(x0, x1, x2) -> c_U72(x0, x1, x2) [0] plus(x0, x1) -> c_plus(x0, x1) [0] U12(x0) -> c_U12(x0) [0] U31(x0, x1) -> c_U31(x0, x1) [0] U32(x0) -> c_U32(x0) [0] U52(x0, x1, x2) -> c_U52(x0, x1, x2) [0] x(x0, x1) -> c_x(x0, x1) [0] U21(x0) -> c_U21(x0) [0] U11(x0, x1) -> c_U11(x0, x1) [0] s(x0) -> c_s(x0) [0] active(x0) -> c_active(x0) [0] U41(x0, x1) -> c_U41(x0, x1) [0] U71(x0, x1, x2) -> c_U71(x0, x1, x2) [0] U51(x0, x1, x2) -> c_U51(x0, x1, x2) [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) -> null_encode_U11 [0] encode_tt -> null_encode_tt [0] encode_mark(v0) -> null_encode_mark [0] encode_U12(v0) -> null_encode_U12 [0] encode_isNat(v0) -> null_encode_isNat [0] encode_U21(v0) -> null_encode_U21 [0] encode_U31(v0, v1) -> null_encode_U31 [0] encode_U32(v0) -> null_encode_U32 [0] encode_U41(v0, v1) -> null_encode_U41 [0] encode_U51(v0, v1, v2) -> null_encode_U51 [0] encode_U52(v0, v1, v2) -> null_encode_U52 [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_U72(v0, v1, v2) -> null_encode_U72 [0] encode_x(v0, v1) -> null_encode_x [0] isNat(v0) -> null_isNat [0] U72(v0, v1, v2) -> null_U72 [0] plus(v0, v1) -> null_plus [0] U12(v0) -> null_U12 [0] U31(v0, v1) -> null_U31 [0] U32(v0) -> null_U32 [0] U52(v0, v1, v2) -> null_U52 [0] x(v0, v1) -> null_x [0] U21(v0) -> null_U21 [0] U11(v0, v1) -> null_U11 [0] s(v0) -> null_s [0] active(v0) -> null_active [0] U41(v0, v1) -> null_U41 [0] U71(v0, v1, v2) -> null_U71 [0] U51(v0, v1, v2) -> null_U51 [0] U61(v0) -> null_U61 [0] mark(v0) -> null_mark [0] The TRS has the following type information: mark :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark tt :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark active :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark 0 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark U51 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark -> 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tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark -> 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tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark encode_tt :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark encode_mark :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark encode_U12 :: tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark -> 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tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark -> tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark encode_U21 :: 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tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark encode_U52 :: 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tt:0:c_active:c_U31:c_mark:c_U51:c_U32:c_U11:c_U52:c_U61:c_x:c_U21:c_s:c_isNat:c_U71:c_U12:c_plus:c_U41:c_U72:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U21:cons_U31:cons_U32:cons_U41:cons_U51:cons_U52:cons_s:cons_plus:cons_U61:cons_U71:cons_U72:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U21:null_encode_U31:null_encode_U32:null_encode_U41:null_encode_U51:null_encode_U52:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_U72:null_encode_x:null_isNat:null_U72:null_plus:null_U12:null_U31:null_U32:null_U52:null_x:null_U21:null_U11:null_s:null_active:null_U41:null_U71:null_U51:null_U61:null_mark Rewrite Strategy: INNERMOST ---------------------------------------- (27) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS to CDT ---------------------------------------- (28) Obligation: Complexity Dependency Tuples Problem Rules: encArg(tt) -> tt encArg(0) -> 0 encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) encode_active(z0) -> active(encArg(z0)) encode_U11(z0, z1) -> U11(encArg(z0), encArg(z1)) encode_tt -> tt encode_mark(z0) -> mark(encArg(z0)) encode_U12(z0) -> U12(encArg(z0)) encode_isNat(z0) -> isNat(encArg(z0)) encode_U21(z0) -> U21(encArg(z0)) encode_U31(z0, z1) -> U31(encArg(z0), encArg(z1)) encode_U32(z0) -> U32(encArg(z0)) encode_U41(z0, z1) -> U41(encArg(z0), encArg(z1)) encode_U51(z0, z1, z2) -> U51(encArg(z0), encArg(z1), encArg(z2)) encode_U52(z0, z1, z2) -> U52(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_U72(z0, z1, z2) -> U72(encArg(z0), encArg(z1), encArg(z2)) encode_x(z0, z1) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) 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)) -> c4(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U12(z0)) -> c5(U12'(encArg(z0)), ENCARG(z0)) ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0)) ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_ACTIVE(z0) -> c19(ACTIVE(encArg(z0)), ENCARG(z0)) ENCODE_U11(z0, z1) -> c20(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_TT -> c21 ENCODE_MARK(z0) -> c22(MARK(encArg(z0)), ENCARG(z0)) ENCODE_U12(z0) -> c23(U12'(encArg(z0)), ENCARG(z0)) ENCODE_ISNAT(z0) -> c24(ISNAT(encArg(z0)), ENCARG(z0)) ENCODE_U21(z0) -> c25(U21'(encArg(z0)), ENCARG(z0)) ENCODE_U31(z0, z1) -> c26(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U32(z0) -> c27(U32'(encArg(z0)), ENCARG(z0)) ENCODE_U41(z0, z1) -> c28(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U51(z0, z1, z2) -> c29(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_U52(z0, z1, z2) -> c30(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_S(z0) -> c31(S(encArg(z0)), ENCARG(z0)) ENCODE_PLUS(z0, z1) -> c32(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U61(z0) -> c33(U61'(encArg(z0)), ENCARG(z0)) ENCODE_0 -> c34 ENCODE_U71(z0, z1, z2) -> c35(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_U72(z0, z1, z2) -> c36(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_X(z0, z1) -> c37(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), U12'(isNat(z0)), ISNAT(z0)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), U32'(isNat(z0)), ISNAT(z0)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), PLUS(x(z1, z0), z1), X(z1, z0)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), U21'(isNat(z0)), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), U41'(isNat(z0), z0), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), U61'(isNat(z0)), ISNAT(z0)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(tt) -> c58(ACTIVE(tt)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(0) -> c70(ACTIVE(0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) S tuples: ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), U12'(isNat(z0)), ISNAT(z0)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), U32'(isNat(z0)), ISNAT(z0)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), PLUS(x(z1, z0), z1), X(z1, z0)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), U21'(isNat(z0)), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), U41'(isNat(z0), z0), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), U61'(isNat(z0)), ISNAT(z0)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(tt) -> c58(ACTIVE(tt)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(0) -> c70(ACTIVE(0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) K tuples:none Defined Rule Symbols: active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2, encArg_1, encode_active_1, encode_U11_2, encode_tt, encode_mark_1, encode_U12_1, encode_isNat_1, encode_U21_1, encode_U31_2, encode_U32_1, encode_U41_2, encode_U51_3, encode_U52_3, encode_s_1, encode_plus_2, encode_U61_1, encode_0, encode_U71_3, encode_U72_3, encode_x_2 Defined Pair Symbols: ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_TT, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_0, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2 Compound Symbols: c, c1, c2_2, c3_2, c4_3, c5_2, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c19_2, c20_3, c21, c22_2, c23_2, c24_2, c25_2, c26_3, c27_2, c28_3, c29_4, c30_4, c31_2, c32_3, c33_2, c34, c35_4, c36_4, c37_3, c38_3, c39_1, c40_1, c41_3, c42_1, c43_1, c44_3, c45_3, c46_1, c47_3, c48_3, c49_1, c50_3, c51_3, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_1, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c70_1, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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 ---------------------------------------- (29) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing nodes: ENCODE_0 -> c34 ENCODE_TT -> c21 ENCARG(tt) -> c ENCARG(0) -> c1 ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) encode_active(z0) -> active(encArg(z0)) encode_U11(z0, z1) -> U11(encArg(z0), encArg(z1)) encode_tt -> tt encode_mark(z0) -> mark(encArg(z0)) encode_U12(z0) -> U12(encArg(z0)) encode_isNat(z0) -> isNat(encArg(z0)) encode_U21(z0) -> U21(encArg(z0)) encode_U31(z0, z1) -> U31(encArg(z0), encArg(z1)) encode_U32(z0) -> U32(encArg(z0)) encode_U41(z0, z1) -> U41(encArg(z0), encArg(z1)) encode_U51(z0, z1, z2) -> U51(encArg(z0), encArg(z1), encArg(z2)) encode_U52(z0, z1, z2) -> U52(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_U72(z0, z1, z2) -> U72(encArg(z0), encArg(z1), encArg(z2)) encode_x(z0, z1) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) 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)) -> c4(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U12(z0)) -> c5(U12'(encArg(z0)), ENCARG(z0)) ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0)) ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_ACTIVE(z0) -> c19(ACTIVE(encArg(z0)), ENCARG(z0)) ENCODE_U11(z0, z1) -> c20(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_MARK(z0) -> c22(MARK(encArg(z0)), ENCARG(z0)) ENCODE_U12(z0) -> c23(U12'(encArg(z0)), ENCARG(z0)) ENCODE_ISNAT(z0) -> c24(ISNAT(encArg(z0)), ENCARG(z0)) ENCODE_U21(z0) -> c25(U21'(encArg(z0)), ENCARG(z0)) ENCODE_U31(z0, z1) -> c26(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U32(z0) -> c27(U32'(encArg(z0)), ENCARG(z0)) ENCODE_U41(z0, z1) -> c28(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U51(z0, z1, z2) -> c29(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_U52(z0, z1, z2) -> c30(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_S(z0) -> c31(S(encArg(z0)), ENCARG(z0)) ENCODE_PLUS(z0, z1) -> c32(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U61(z0) -> c33(U61'(encArg(z0)), ENCARG(z0)) ENCODE_U71(z0, z1, z2) -> c35(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_U72(z0, z1, z2) -> c36(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_X(z0, z1) -> c37(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), U12'(isNat(z0)), ISNAT(z0)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), U32'(isNat(z0)), ISNAT(z0)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), PLUS(x(z1, z0), z1), X(z1, z0)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), U21'(isNat(z0)), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), U41'(isNat(z0), z0), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), U61'(isNat(z0)), ISNAT(z0)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(tt) -> c58(ACTIVE(tt)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(0) -> c70(ACTIVE(0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) S tuples: ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), U12'(isNat(z0)), ISNAT(z0)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), U32'(isNat(z0)), ISNAT(z0)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), PLUS(x(z1, z0), z1), X(z1, z0)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), U21'(isNat(z0)), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), U41'(isNat(z0), z0), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), U61'(isNat(z0)), ISNAT(z0)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(tt) -> c58(ACTIVE(tt)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(0) -> c70(ACTIVE(0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) K tuples:none Defined Rule Symbols: active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2, encArg_1, encode_active_1, encode_U11_2, encode_tt, encode_mark_1, encode_U12_1, encode_isNat_1, encode_U21_1, encode_U31_2, encode_U32_1, encode_U41_2, encode_U51_3, encode_U52_3, encode_s_1, encode_plus_2, encode_U61_1, encode_0, encode_U71_3, encode_U72_3, encode_x_2 Defined Pair Symbols: ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2 Compound Symbols: c2_2, c3_2, c4_3, c5_2, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c19_2, c20_3, c22_2, c23_2, c24_2, c25_2, c26_3, c27_2, c28_3, c29_4, c30_4, c31_2, c32_3, c33_2, c35_4, c36_4, c37_3, c38_3, c39_1, c40_1, c41_3, c42_1, c43_1, c44_3, c45_3, c46_1, c47_3, c48_3, c49_1, c50_3, c51_3, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_1, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c70_1, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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 ---------------------------------------- (31) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 9 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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) encode_active(z0) -> active(encArg(z0)) encode_U11(z0, z1) -> U11(encArg(z0), encArg(z1)) encode_tt -> tt encode_mark(z0) -> mark(encArg(z0)) encode_U12(z0) -> U12(encArg(z0)) encode_isNat(z0) -> isNat(encArg(z0)) encode_U21(z0) -> U21(encArg(z0)) encode_U31(z0, z1) -> U31(encArg(z0), encArg(z1)) encode_U32(z0) -> U32(encArg(z0)) encode_U41(z0, z1) -> U41(encArg(z0), encArg(z1)) encode_U51(z0, z1, z2) -> U51(encArg(z0), encArg(z1), encArg(z2)) encode_U52(z0, z1, z2) -> U52(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_U72(z0, z1, z2) -> U72(encArg(z0), encArg(z1), encArg(z2)) encode_x(z0, z1) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) 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)) -> c4(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U12(z0)) -> c5(U12'(encArg(z0)), ENCARG(z0)) ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0)) ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_ACTIVE(z0) -> c19(ACTIVE(encArg(z0)), ENCARG(z0)) ENCODE_U11(z0, z1) -> c20(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_MARK(z0) -> c22(MARK(encArg(z0)), ENCARG(z0)) ENCODE_U12(z0) -> c23(U12'(encArg(z0)), ENCARG(z0)) ENCODE_ISNAT(z0) -> c24(ISNAT(encArg(z0)), ENCARG(z0)) ENCODE_U21(z0) -> c25(U21'(encArg(z0)), ENCARG(z0)) ENCODE_U31(z0, z1) -> c26(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U32(z0) -> c27(U32'(encArg(z0)), ENCARG(z0)) ENCODE_U41(z0, z1) -> c28(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U51(z0, z1, z2) -> c29(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_U52(z0, z1, z2) -> c30(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_S(z0) -> c31(S(encArg(z0)), ENCARG(z0)) ENCODE_PLUS(z0, z1) -> c32(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U61(z0) -> c33(U61'(encArg(z0)), ENCARG(z0)) ENCODE_U71(z0, z1, z2) -> c35(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_U72(z0, z1, z2) -> c36(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_X(z0, z1) -> c37(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2, encArg_1, encode_active_1, encode_U11_2, encode_tt, encode_mark_1, encode_U12_1, encode_isNat_1, encode_U21_1, encode_U31_2, encode_U32_1, encode_U41_2, encode_U51_3, encode_U52_3, encode_s_1, encode_plus_2, encode_U61_1, encode_0, encode_U71_3, encode_U72_3, encode_x_2 Defined Pair Symbols: ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2 Compound Symbols: c2_2, c3_2, c4_3, c5_2, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c19_2, c20_3, c22_2, c23_2, c24_2, c25_2, c26_3, c27_2, c28_3, c29_4, c30_4, c31_2, c32_3, c33_2, c35_4, c36_4, c37_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70 ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) encode_active(z0) -> active(encArg(z0)) encode_U11(z0, z1) -> U11(encArg(z0), encArg(z1)) encode_tt -> tt encode_mark(z0) -> mark(encArg(z0)) encode_U12(z0) -> U12(encArg(z0)) encode_isNat(z0) -> isNat(encArg(z0)) encode_U21(z0) -> U21(encArg(z0)) encode_U31(z0, z1) -> U31(encArg(z0), encArg(z1)) encode_U32(z0) -> U32(encArg(z0)) encode_U41(z0, z1) -> U41(encArg(z0), encArg(z1)) encode_U51(z0, z1, z2) -> U51(encArg(z0), encArg(z1), encArg(z2)) encode_U52(z0, z1, z2) -> U52(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_U72(z0, z1, z2) -> U72(encArg(z0), encArg(z1), encArg(z2)) encode_x(z0, z1) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) 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)) -> c4(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U12(z0)) -> c5(U12'(encArg(z0)), ENCARG(z0)) ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0)) ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_ACTIVE(z0) -> c(ENCARG(z0)) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_U11(z0, z1) -> c(ENCARG(z0)) ENCODE_U11(z0, z1) -> c(ENCARG(z1)) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_MARK(z0) -> c(ENCARG(z0)) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_U12(z0) -> c(ENCARG(z0)) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_ISNAT(z0) -> c(ENCARG(z0)) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U21(z0) -> c(ENCARG(z0)) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U31(z0, z1) -> c(ENCARG(z0)) ENCODE_U31(z0, z1) -> c(ENCARG(z1)) ENCODE_U32(z0) -> c(U32'(encArg(z0))) ENCODE_U32(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_U52(z0, z1, z2) -> c(U52'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U52(z0, z1, z2) -> c(ENCARG(z0)) ENCODE_U52(z0, z1, z2) -> c(ENCARG(z1)) ENCODE_U52(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U72(z0, z1, z2) -> c(ENCARG(z0)) ENCODE_U72(z0, z1, z2) -> c(ENCARG(z1)) ENCODE_U72(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)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2, encArg_1, encode_active_1, encode_U11_2, encode_tt, encode_mark_1, encode_U12_1, encode_isNat_1, encode_U21_1, encode_U31_2, encode_U32_1, encode_U41_2, encode_U51_3, encode_U52_3, encode_s_1, encode_plus_2, encode_U61_1, encode_0, encode_U71_3, encode_U72_3, encode_x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c2_2, c3_2, c4_3, c5_2, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1 ---------------------------------------- (35) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 30 leading nodes: ENCODE_ACTIVE(z0) -> c(ENCARG(z0)) ENCODE_U11(z0, z1) -> c(ENCARG(z0)) ENCODE_U11(z0, z1) -> c(ENCARG(z1)) ENCODE_MARK(z0) -> c(ENCARG(z0)) ENCODE_U12(z0) -> c(ENCARG(z0)) ENCODE_ISNAT(z0) -> c(ENCARG(z0)) ENCODE_U21(z0) -> c(ENCARG(z0)) ENCODE_U31(z0, z1) -> c(ENCARG(z0)) ENCODE_U31(z0, z1) -> c(ENCARG(z1)) ENCODE_U32(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_U52(z0, z1, z2) -> c(ENCARG(z0)) ENCODE_U52(z0, z1, z2) -> c(ENCARG(z1)) ENCODE_U52(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_U72(z0, z1, z2) -> c(ENCARG(z0)) ENCODE_U72(z0, z1, z2) -> c(ENCARG(z1)) ENCODE_U72(z0, z1, z2) -> c(ENCARG(z2)) ENCODE_X(z0, z1) -> c(ENCARG(z0)) ENCODE_X(z0, z1) -> c(ENCARG(z1)) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) encode_active(z0) -> active(encArg(z0)) encode_U11(z0, z1) -> U11(encArg(z0), encArg(z1)) encode_tt -> tt encode_mark(z0) -> mark(encArg(z0)) encode_U12(z0) -> U12(encArg(z0)) encode_isNat(z0) -> isNat(encArg(z0)) encode_U21(z0) -> U21(encArg(z0)) encode_U31(z0, z1) -> U31(encArg(z0), encArg(z1)) encode_U32(z0) -> U32(encArg(z0)) encode_U41(z0, z1) -> U41(encArg(z0), encArg(z1)) encode_U51(z0, z1, z2) -> U51(encArg(z0), encArg(z1), encArg(z2)) encode_U52(z0, z1, z2) -> U52(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_U72(z0, z1, z2) -> U72(encArg(z0), encArg(z1), encArg(z2)) encode_x(z0, z1) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) 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)) -> c4(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U12(z0)) -> c5(U12'(encArg(z0)), ENCARG(z0)) ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0)) ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2, encArg_1, encode_active_1, encode_U11_2, encode_tt, encode_mark_1, encode_U12_1, encode_isNat_1, encode_U21_1, encode_U31_2, encode_U32_1, encode_U41_2, encode_U51_3, encode_U52_3, encode_s_1, encode_plus_2, encode_U61_1, encode_0, encode_U71_3, encode_U72_3, encode_x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c2_2, c3_2, c4_3, c5_2, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, 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) -> U11(encArg(z0), encArg(z1)) encode_tt -> tt encode_mark(z0) -> mark(encArg(z0)) encode_U12(z0) -> U12(encArg(z0)) encode_isNat(z0) -> isNat(encArg(z0)) encode_U21(z0) -> U21(encArg(z0)) encode_U31(z0, z1) -> U31(encArg(z0), encArg(z1)) encode_U32(z0) -> U32(encArg(z0)) encode_U41(z0, z1) -> U41(encArg(z0), encArg(z1)) encode_U51(z0, z1, z2) -> U51(encArg(z0), encArg(z1), encArg(z2)) encode_U52(z0, z1, z2) -> U52(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_U72(z0, z1, z2) -> U72(encArg(z0), encArg(z1), encArg(z2)) encode_x(z0, z1) -> x(encArg(z0), encArg(z1)) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) 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)) -> c4(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U12(z0)) -> c5(U12'(encArg(z0)), ENCARG(z0)) ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0)) ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c2_2, c3_2, c4_3, c5_2, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0)) ENCARG(cons_U11(z0, z1)) -> c4(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U12(z0)) -> c5(U12'(encArg(z0)), ENCARG(z0)) ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0)) ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c3_2, c4_3, c5_2, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2 ---------------------------------------- (41) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ENCARG(cons_active(0)) -> c2(ACTIVE(0), ENCARG(0)) ENCARG(cons_active(tt)) -> c2(ACTIVE(tt), ENCARG(tt)) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0)) ENCARG(cons_U11(z0, z1)) -> c4(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U12(z0)) -> c5(U12'(encArg(z0)), ENCARG(z0)) ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0)) ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c3_2, c4_3, c5_2, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U11(z0, z1)) -> c4(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U12(z0)) -> c5(U12'(encArg(z0)), ENCARG(z0)) ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0)) ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c4_3, c5_2, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, 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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U11(z0, z1)) -> c4(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U12(z0)) -> c5(U12'(encArg(z0)), ENCARG(z0)) ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0)) ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c4_3, c5_2, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1 ---------------------------------------- (47) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U11(z0, z1)) -> c4(U11'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U12(z0)) -> c5(U12'(encArg(z0)), ENCARG(z0)) ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0)) ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c5_2, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3 ---------------------------------------- (49) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U12(z0)) -> c5(U12'(encArg(z0)), ENCARG(z0)) ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0)) ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c5_2, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2 ---------------------------------------- (51) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U12(z0)) -> c5(U12'(encArg(z0)), ENCARG(z0)) by ENCARG(cons_U12(tt)) -> c5(U12'(tt), ENCARG(tt)) ENCARG(cons_U12(0)) -> c5(U12'(0), ENCARG(0)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0)) ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(tt)) -> c5(U12'(tt), ENCARG(tt)) ENCARG(cons_U12(0)) -> c5(U12'(0), ENCARG(0)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2 ---------------------------------------- (53) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ENCARG(cons_U12(tt)) -> c5(U12'(tt), ENCARG(tt)) ENCARG(cons_U12(0)) -> c5(U12'(0), ENCARG(0)) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0)) ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, 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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c7_2, c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2 ---------------------------------------- (59) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U21(z0)) -> c7(U21'(encArg(z0)), ENCARG(z0)) by ENCARG(cons_U21(tt)) -> c7(U21'(tt), ENCARG(tt)) ENCARG(cons_U21(0)) -> c7(U21'(0), ENCARG(0)) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(tt)) -> c7(U21'(tt), ENCARG(tt)) ENCARG(cons_U21(0)) -> c7(U21'(0), ENCARG(0)) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2 ---------------------------------------- (61) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ENCARG(cons_U21(tt)) -> c7(U21'(tt), ENCARG(tt)) ENCARG(cons_U21(0)) -> c7(U21'(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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c8_3, c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2 ---------------------------------------- (63) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U31(z0, z1)) -> c8(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), 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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, 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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c9_2, c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2 ---------------------------------------- (67) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U32(z0)) -> c9(U32'(encArg(z0)), ENCARG(z0)) by ENCARG(cons_U32(tt)) -> c9(U32'(tt), ENCARG(tt)) ENCARG(cons_U32(0)) -> c9(U32'(0), ENCARG(0)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(tt)) -> c9(U32'(tt), ENCARG(tt)) ENCARG(cons_U32(0)) -> c9(U32'(0), ENCARG(0)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2 ---------------------------------------- (69) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ENCARG(cons_U32(0)) -> c9(U32'(0), ENCARG(0)) ENCARG(cons_U32(tt)) -> c9(U32'(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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c10_3, c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2 ---------------------------------------- (71) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U41(z0, z1)) -> c10(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ---------------------------------------- (72) Obligation: Complexity Dependency Tuples Problem Rules: encArg(tt) -> tt encArg(0) -> 0 encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3 ---------------------------------------- (73) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (74) Obligation: Complexity Dependency Tuples Problem Rules: encArg(tt) -> tt encArg(0) -> 0 encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c11_4, c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2 ---------------------------------------- (75) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U51(z0, z1, z2)) -> c11(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) by ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2)) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ---------------------------------------- (76) Obligation: Complexity Dependency Tuples Problem Rules: encArg(tt) -> tt encArg(0) -> 0 encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2)) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4 ---------------------------------------- (77) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 trailing tuple parts ---------------------------------------- (78) Obligation: Complexity Dependency Tuples Problem Rules: encArg(tt) -> tt encArg(0) -> 0 encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c12_4, c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3 ---------------------------------------- (79) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U52(z0, z1, z2)) -> c12(U52'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) by ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2)) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2)) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4 ---------------------------------------- (81) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 trailing tuple parts ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c13_2, c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3 ---------------------------------------- (83) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_s(z0)) -> c13(S(encArg(z0)), ENCARG(z0)) by ENCARG(cons_s(tt)) -> c13(S(tt), ENCARG(tt)) ENCARG(cons_s(0)) -> c13(S(0), ENCARG(0)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(tt)) -> c13(S(tt), ENCARG(tt)) ENCARG(cons_s(0)) -> c13(S(0), ENCARG(0)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2 ---------------------------------------- (85) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ENCARG(cons_s(0)) -> c13(S(0), ENCARG(0)) ENCARG(cons_s(tt)) -> c13(S(tt), ENCARG(tt)) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c14_3, c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2 ---------------------------------------- (87) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_plus(z0, z1)) -> c14(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ---------------------------------------- (88) Obligation: Complexity Dependency Tuples Problem Rules: encArg(tt) -> tt encArg(0) -> 0 encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3 ---------------------------------------- (89) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (90) Obligation: Complexity Dependency Tuples Problem Rules: encArg(tt) -> tt encArg(0) -> 0 encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c15_2, c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2 ---------------------------------------- (91) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U61(z0)) -> c15(U61'(encArg(z0)), ENCARG(z0)) by ENCARG(cons_U61(tt)) -> c15(U61'(tt), ENCARG(tt)) ENCARG(cons_U61(0)) -> c15(U61'(0), ENCARG(0)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(tt)) -> c15(U61'(tt), ENCARG(tt)) ENCARG(cons_U61(0)) -> c15(U61'(0), ENCARG(0)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2 ---------------------------------------- (93) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ENCARG(cons_U61(0)) -> c15(U61'(0), ENCARG(0)) ENCARG(cons_U61(tt)) -> c15(U61'(tt), ENCARG(tt)) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c16_4, c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2 ---------------------------------------- (95) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U71(z0, z1, z2)) -> c16(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) by ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0)) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2)) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ---------------------------------------- (96) Obligation: Complexity Dependency Tuples Problem Rules: encArg(tt) -> tt encArg(0) -> 0 encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0)) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2)) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4 ---------------------------------------- (97) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c17_4, c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3 ---------------------------------------- (99) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U72(z0, z1, z2)) -> c17(U72'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) by ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2)) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2)) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3, c17_4 ---------------------------------------- (101) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 trailing tuple parts ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2 Compound Symbols: c18_3, c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3, c17_4, c17_3 ---------------------------------------- (103) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_x(z0, z1)) -> c18(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by ENCARG(cons_x(x0, tt)) -> c18(X(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_x(x0, 0)) -> c18(X(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_x(x0, cons_active(z0))) -> c18(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c18(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1))) -> c18(X(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_x(x0, cons_U12(z0))) -> c18(X(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c18(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U21(z0))) -> c18(X(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1))) -> c18(X(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_x(x0, cons_U32(z0))) -> c18(X(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c18(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c18(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_U52(z0, z1, z2))) -> c18(X(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c18(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c18(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c18(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c18(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_U72(z0, z1, z2))) -> c18(X(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c18(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(tt, x1)) -> c18(X(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c18(X(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_x(cons_active(z0), x1)) -> c18(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c18(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1), x1)) -> c18(X(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0), x1)) -> c18(X(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c18(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0), x1)) -> c18(X(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1), x1)) -> c18(X(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0), x1)) -> c18(X(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c18(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c18(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U52(z0, z1, z2), x1)) -> c18(X(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c18(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c18(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c18(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c18(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U72(z0, z1, z2), x1)) -> c18(X(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c18(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, tt)) -> c18(X(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_x(x0, 0)) -> c18(X(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_x(x0, cons_active(z0))) -> c18(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c18(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1))) -> c18(X(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_x(x0, cons_U12(z0))) -> c18(X(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c18(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U21(z0))) -> c18(X(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1))) -> c18(X(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_x(x0, cons_U32(z0))) -> c18(X(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c18(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c18(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_U52(z0, z1, z2))) -> c18(X(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c18(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c18(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c18(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c18(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_U72(z0, z1, z2))) -> c18(X(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c18(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(tt, x1)) -> c18(X(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c18(X(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_x(cons_active(z0), x1)) -> c18(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c18(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1), x1)) -> c18(X(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0), x1)) -> c18(X(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c18(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0), x1)) -> c18(X(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1), x1)) -> c18(X(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0), x1)) -> c18(X(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c18(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c18(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U52(z0, z1, z2), x1)) -> c18(X(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c18(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c18(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c18(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c18(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U72(z0, z1, z2), x1)) -> c18(X(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c18(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ENCARG_1 Compound Symbols: c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3, c17_4, c17_3, c18_3 ---------------------------------------- (105) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c18(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c18(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1))) -> c18(X(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_x(x0, cons_U12(z0))) -> c18(X(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c18(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U21(z0))) -> c18(X(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1))) -> c18(X(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_x(x0, cons_U32(z0))) -> c18(X(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c18(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c18(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_U52(z0, z1, z2))) -> c18(X(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c18(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c18(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c18(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c18(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_U72(z0, z1, z2))) -> c18(X(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c18(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(cons_active(z0), x1)) -> c18(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c18(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1), x1)) -> c18(X(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0), x1)) -> c18(X(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c18(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0), x1)) -> c18(X(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1), x1)) -> c18(X(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0), x1)) -> c18(X(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c18(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c18(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U52(z0, z1, z2), x1)) -> c18(X(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c18(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c18(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c18(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c18(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U72(z0, z1, z2), x1)) -> c18(X(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c18(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c18(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c18(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c18(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c18(X(0, encArg(x1)), ENCARG(x1)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ENCARG_1 Compound Symbols: c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c57_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3, c17_4, c17_3, c18_3, c18_2 ---------------------------------------- (107) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U11(z0, z1)) -> c57(ACTIVE(U11(mark(z0), z1)), U11'(mark(z0), z1), MARK(z0)) by MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), 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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c18(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c18(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1))) -> c18(X(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_x(x0, cons_U12(z0))) -> c18(X(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c18(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U21(z0))) -> c18(X(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1))) -> c18(X(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_x(x0, cons_U32(z0))) -> c18(X(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c18(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c18(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_U52(z0, z1, z2))) -> c18(X(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c18(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c18(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c18(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c18(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_U72(z0, z1, z2))) -> c18(X(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c18(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(cons_active(z0), x1)) -> c18(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c18(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1), x1)) -> c18(X(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0), x1)) -> c18(X(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c18(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0), x1)) -> c18(X(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1), x1)) -> c18(X(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0), x1)) -> c18(X(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c18(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c18(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U52(z0, z1, z2), x1)) -> c18(X(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c18(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c18(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c18(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c18(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U72(z0, z1, z2), x1)) -> c18(X(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c18(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c18(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c18(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c18(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c18(X(0, encArg(x1)), ENCARG(x1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ENCARG_1 Compound Symbols: c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c59_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3, c17_4, c17_3, c18_3, c18_2, c57_3, c57_1 ---------------------------------------- (109) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U12(z0)) -> c59(ACTIVE(U12(mark(z0))), U12'(mark(z0)), MARK(z0)) by MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c18(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c18(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1))) -> c18(X(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_x(x0, cons_U12(z0))) -> c18(X(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c18(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U21(z0))) -> c18(X(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1))) -> c18(X(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_x(x0, cons_U32(z0))) -> c18(X(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c18(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c18(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_U52(z0, z1, z2))) -> c18(X(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c18(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c18(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c18(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c18(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_U72(z0, z1, z2))) -> c18(X(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c18(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(cons_active(z0), x1)) -> c18(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c18(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1), x1)) -> c18(X(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0), x1)) -> c18(X(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c18(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0), x1)) -> c18(X(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1), x1)) -> c18(X(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0), x1)) -> c18(X(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c18(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c18(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U52(z0, z1, z2), x1)) -> c18(X(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c18(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c18(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c18(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c18(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U72(z0, z1, z2), x1)) -> c18(X(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c18(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c18(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c18(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c18(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c18(X(0, encArg(x1)), ENCARG(x1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ENCARG_1 Compound Symbols: c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c60_2, c61_3, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3, c17_4, c17_3, c18_3, c18_2, c57_3, c57_1, c59_3 ---------------------------------------- (111) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U21(z0)) -> c61(ACTIVE(U21(mark(z0))), U21'(mark(z0)), MARK(z0)) by MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c18(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c18(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1))) -> c18(X(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_x(x0, cons_U12(z0))) -> c18(X(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c18(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U21(z0))) -> c18(X(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1))) -> c18(X(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_x(x0, cons_U32(z0))) -> c18(X(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c18(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c18(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_U52(z0, z1, z2))) -> c18(X(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c18(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c18(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c18(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c18(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_U72(z0, z1, z2))) -> c18(X(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c18(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(cons_active(z0), x1)) -> c18(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c18(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1), x1)) -> c18(X(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0), x1)) -> c18(X(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c18(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0), x1)) -> c18(X(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1), x1)) -> c18(X(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0), x1)) -> c18(X(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c18(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c18(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U52(z0, z1, z2), x1)) -> c18(X(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c18(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c18(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c18(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c18(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U72(z0, z1, z2), x1)) -> c18(X(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c18(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c18(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c18(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c18(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c18(X(0, encArg(x1)), ENCARG(x1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ENCARG_1 Compound Symbols: c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c60_2, c62_3, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3, c17_4, c17_3, c18_3, c18_2, c57_3, c57_1, c59_3, c61_3 ---------------------------------------- (113) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U31(z0, z1)) -> c62(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) by MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) ---------------------------------------- (114) Obligation: Complexity Dependency Tuples Problem Rules: encArg(tt) -> tt encArg(0) -> 0 encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c18(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c18(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1))) -> c18(X(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_x(x0, cons_U12(z0))) -> c18(X(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c18(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U21(z0))) -> c18(X(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1))) -> c18(X(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_x(x0, cons_U32(z0))) -> c18(X(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c18(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c18(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_U52(z0, z1, z2))) -> c18(X(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c18(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c18(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c18(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c18(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_U72(z0, z1, z2))) -> c18(X(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c18(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(cons_active(z0), x1)) -> c18(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c18(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1), x1)) -> c18(X(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0), x1)) -> c18(X(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c18(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0), x1)) -> c18(X(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1), x1)) -> c18(X(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0), x1)) -> c18(X(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c18(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c18(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U52(z0, z1, z2), x1)) -> c18(X(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c18(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c18(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c18(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c18(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U72(z0, z1, z2), x1)) -> c18(X(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c18(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c18(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c18(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c18(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c18(X(0, encArg(x1)), ENCARG(x1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ENCARG_1 Compound Symbols: c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c60_2, c63_3, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3, c17_4, c17_3, c18_3, c18_2, c57_3, c57_1, c59_3, c61_3, c62_3, c62_1 ---------------------------------------- (115) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U32(z0)) -> c63(ACTIVE(U32(mark(z0))), U32'(mark(z0)), MARK(z0)) by MARK(U32(z0)) -> c63(ACTIVE(U32(z0)), U32'(mark(z0)), MARK(z0)) MARK(U32(U11(z0, z1))) -> c63(ACTIVE(U32(active(U11(mark(z0), z1)))), U32'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U32(tt)) -> c63(ACTIVE(U32(active(tt))), U32'(mark(tt)), MARK(tt)) MARK(U32(U12(z0))) -> c63(ACTIVE(U32(active(U12(mark(z0))))), U32'(mark(U12(z0))), MARK(U12(z0))) MARK(U32(isNat(z0))) -> c63(ACTIVE(U32(active(isNat(z0)))), U32'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U32(U21(z0))) -> c63(ACTIVE(U32(active(U21(mark(z0))))), U32'(mark(U21(z0))), MARK(U21(z0))) MARK(U32(U31(z0, z1))) -> c63(ACTIVE(U32(active(U31(mark(z0), z1)))), U32'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U32(U32(z0))) -> c63(ACTIVE(U32(active(U32(mark(z0))))), U32'(mark(U32(z0))), MARK(U32(z0))) MARK(U32(U41(z0, z1))) -> c63(ACTIVE(U32(active(U41(mark(z0), z1)))), U32'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U32(U51(z0, z1, z2))) -> c63(ACTIVE(U32(active(U51(mark(z0), z1, z2)))), U32'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U32(U52(z0, z1, z2))) -> c63(ACTIVE(U32(active(U52(mark(z0), z1, z2)))), U32'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U32(s(z0))) -> c63(ACTIVE(U32(active(s(mark(z0))))), U32'(mark(s(z0))), MARK(s(z0))) MARK(U32(plus(z0, z1))) -> c63(ACTIVE(U32(active(plus(mark(z0), mark(z1))))), U32'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U32(U61(z0))) -> c63(ACTIVE(U32(active(U61(mark(z0))))), U32'(mark(U61(z0))), MARK(U61(z0))) MARK(U32(0)) -> c63(ACTIVE(U32(active(0))), U32'(mark(0)), MARK(0)) MARK(U32(U71(z0, z1, z2))) -> c63(ACTIVE(U32(active(U71(mark(z0), z1, z2)))), U32'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U32(U72(z0, z1, z2))) -> c63(ACTIVE(U32(active(U72(mark(z0), z1, z2)))), U32'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U32(x(z0, z1))) -> c63(ACTIVE(U32(active(x(mark(z0), mark(z1))))), U32'(mark(x(z0, z1))), MARK(x(z0, z1))) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c18(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c18(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1))) -> c18(X(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_x(x0, cons_U12(z0))) -> c18(X(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c18(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U21(z0))) -> c18(X(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1))) -> c18(X(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_x(x0, cons_U32(z0))) -> c18(X(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c18(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c18(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_U52(z0, z1, z2))) -> c18(X(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c18(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c18(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c18(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c18(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_U72(z0, z1, z2))) -> c18(X(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c18(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(cons_active(z0), x1)) -> c18(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c18(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1), x1)) -> c18(X(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0), x1)) -> c18(X(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c18(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0), x1)) -> c18(X(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1), x1)) -> c18(X(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0), x1)) -> c18(X(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c18(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c18(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U52(z0, z1, z2), x1)) -> c18(X(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c18(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c18(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c18(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c18(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U72(z0, z1, z2), x1)) -> c18(X(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c18(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c18(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c18(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c18(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c18(X(0, encArg(x1)), ENCARG(x1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) MARK(U32(z0)) -> c63(ACTIVE(U32(z0)), U32'(mark(z0)), MARK(z0)) MARK(U32(U11(z0, z1))) -> c63(ACTIVE(U32(active(U11(mark(z0), z1)))), U32'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U32(tt)) -> c63(ACTIVE(U32(active(tt))), U32'(mark(tt)), MARK(tt)) MARK(U32(U12(z0))) -> c63(ACTIVE(U32(active(U12(mark(z0))))), U32'(mark(U12(z0))), MARK(U12(z0))) MARK(U32(isNat(z0))) -> c63(ACTIVE(U32(active(isNat(z0)))), U32'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U32(U21(z0))) -> c63(ACTIVE(U32(active(U21(mark(z0))))), U32'(mark(U21(z0))), MARK(U21(z0))) MARK(U32(U31(z0, z1))) -> c63(ACTIVE(U32(active(U31(mark(z0), z1)))), U32'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U32(U32(z0))) -> c63(ACTIVE(U32(active(U32(mark(z0))))), U32'(mark(U32(z0))), MARK(U32(z0))) MARK(U32(U41(z0, z1))) -> c63(ACTIVE(U32(active(U41(mark(z0), z1)))), U32'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U32(U51(z0, z1, z2))) -> c63(ACTIVE(U32(active(U51(mark(z0), z1, z2)))), U32'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U32(U52(z0, z1, z2))) -> c63(ACTIVE(U32(active(U52(mark(z0), z1, z2)))), U32'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U32(s(z0))) -> c63(ACTIVE(U32(active(s(mark(z0))))), U32'(mark(s(z0))), MARK(s(z0))) MARK(U32(plus(z0, z1))) -> c63(ACTIVE(U32(active(plus(mark(z0), mark(z1))))), U32'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U32(U61(z0))) -> c63(ACTIVE(U32(active(U61(mark(z0))))), U32'(mark(U61(z0))), MARK(U61(z0))) MARK(U32(0)) -> c63(ACTIVE(U32(active(0))), U32'(mark(0)), MARK(0)) MARK(U32(U71(z0, z1, z2))) -> c63(ACTIVE(U32(active(U71(mark(z0), z1, z2)))), U32'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U32(U72(z0, z1, z2))) -> c63(ACTIVE(U32(active(U72(mark(z0), z1, z2)))), U32'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U32(x(z0, z1))) -> c63(ACTIVE(U32(active(x(mark(z0), mark(z1))))), U32'(mark(x(z0, z1))), MARK(x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) MARK(U32(z0)) -> c63(ACTIVE(U32(z0)), U32'(mark(z0)), MARK(z0)) MARK(U32(U11(z0, z1))) -> c63(ACTIVE(U32(active(U11(mark(z0), z1)))), U32'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U32(tt)) -> c63(ACTIVE(U32(active(tt))), U32'(mark(tt)), MARK(tt)) MARK(U32(U12(z0))) -> c63(ACTIVE(U32(active(U12(mark(z0))))), U32'(mark(U12(z0))), MARK(U12(z0))) MARK(U32(isNat(z0))) -> c63(ACTIVE(U32(active(isNat(z0)))), U32'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U32(U21(z0))) -> c63(ACTIVE(U32(active(U21(mark(z0))))), U32'(mark(U21(z0))), MARK(U21(z0))) MARK(U32(U31(z0, z1))) -> c63(ACTIVE(U32(active(U31(mark(z0), z1)))), U32'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U32(U32(z0))) -> c63(ACTIVE(U32(active(U32(mark(z0))))), U32'(mark(U32(z0))), MARK(U32(z0))) MARK(U32(U41(z0, z1))) -> c63(ACTIVE(U32(active(U41(mark(z0), z1)))), U32'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U32(U51(z0, z1, z2))) -> c63(ACTIVE(U32(active(U51(mark(z0), z1, z2)))), U32'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U32(U52(z0, z1, z2))) -> c63(ACTIVE(U32(active(U52(mark(z0), z1, z2)))), U32'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U32(s(z0))) -> c63(ACTIVE(U32(active(s(mark(z0))))), U32'(mark(s(z0))), MARK(s(z0))) MARK(U32(plus(z0, z1))) -> c63(ACTIVE(U32(active(plus(mark(z0), mark(z1))))), U32'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U32(U61(z0))) -> c63(ACTIVE(U32(active(U61(mark(z0))))), U32'(mark(U61(z0))), MARK(U61(z0))) MARK(U32(0)) -> c63(ACTIVE(U32(active(0))), U32'(mark(0)), MARK(0)) MARK(U32(U71(z0, z1, z2))) -> c63(ACTIVE(U32(active(U71(mark(z0), z1, z2)))), U32'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U32(U72(z0, z1, z2))) -> c63(ACTIVE(U32(active(U72(mark(z0), z1, z2)))), U32'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U32(x(z0, z1))) -> c63(ACTIVE(U32(active(x(mark(z0), mark(z1))))), U32'(mark(x(z0, z1))), MARK(x(z0, z1))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ENCARG_1 Compound Symbols: c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c60_2, c64_3, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3, c17_4, c17_3, c18_3, c18_2, c57_3, c57_1, c59_3, c61_3, c62_3, c62_1, c63_3 ---------------------------------------- (117) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U41(z0, z1)) -> c64(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) by MARK(U41(z0, z1)) -> c64(ACTIVE(U41(z0, z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U41(U11(z0, z1), x1)) -> c64(ACTIVE(U41(active(U11(mark(z0), z1)), x1)), U41'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U41(tt, x1)) -> c64(ACTIVE(U41(active(tt), x1)), U41'(mark(tt), x1), MARK(tt)) MARK(U41(U12(z0), x1)) -> c64(ACTIVE(U41(active(U12(mark(z0))), x1)), U41'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U41(isNat(z0), x1)) -> c64(ACTIVE(U41(active(isNat(z0)), x1)), U41'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U41(U21(z0), x1)) -> c64(ACTIVE(U41(active(U21(mark(z0))), x1)), U41'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U41(U31(z0, z1), x1)) -> c64(ACTIVE(U41(active(U31(mark(z0), z1)), x1)), U41'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U41(U32(z0), x1)) -> c64(ACTIVE(U41(active(U32(mark(z0))), x1)), U41'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U41(U41(z0, z1), x1)) -> c64(ACTIVE(U41(active(U41(mark(z0), z1)), x1)), U41'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U41(U51(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U51(mark(z0), z1, z2)), x1)), U41'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U41(U52(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U52(mark(z0), z1, z2)), x1)), U41'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U41(s(z0), x1)) -> c64(ACTIVE(U41(active(s(mark(z0))), x1)), U41'(mark(s(z0)), x1), MARK(s(z0))) MARK(U41(plus(z0, z1), x1)) -> c64(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1)), U41'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U41(U61(z0), x1)) -> c64(ACTIVE(U41(active(U61(mark(z0))), x1)), U41'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U41(0, x1)) -> c64(ACTIVE(U41(active(0), x1)), U41'(mark(0), x1), MARK(0)) MARK(U41(U71(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U71(mark(z0), z1, z2)), x1)), U41'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U41(U72(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U72(mark(z0), z1, z2)), x1)), U41'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U41(x(z0, z1), x1)) -> c64(ACTIVE(U41(active(x(mark(z0), mark(z1))), x1)), U41'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U41(x0, x1)) -> c64(U41'(mark(x0), x1)) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c18(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c18(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1))) -> c18(X(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_x(x0, cons_U12(z0))) -> c18(X(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c18(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U21(z0))) -> c18(X(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1))) -> c18(X(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_x(x0, cons_U32(z0))) -> c18(X(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c18(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c18(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_U52(z0, z1, z2))) -> c18(X(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c18(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c18(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c18(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c18(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_U72(z0, z1, z2))) -> c18(X(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c18(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(cons_active(z0), x1)) -> c18(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c18(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1), x1)) -> c18(X(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0), x1)) -> c18(X(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c18(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0), x1)) -> c18(X(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1), x1)) -> c18(X(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0), x1)) -> c18(X(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c18(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c18(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U52(z0, z1, z2), x1)) -> c18(X(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c18(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c18(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c18(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c18(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U72(z0, z1, z2), x1)) -> c18(X(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c18(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c18(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c18(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c18(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c18(X(0, encArg(x1)), ENCARG(x1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) MARK(U32(z0)) -> c63(ACTIVE(U32(z0)), U32'(mark(z0)), MARK(z0)) MARK(U32(U11(z0, z1))) -> c63(ACTIVE(U32(active(U11(mark(z0), z1)))), U32'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U32(tt)) -> c63(ACTIVE(U32(active(tt))), U32'(mark(tt)), MARK(tt)) MARK(U32(U12(z0))) -> c63(ACTIVE(U32(active(U12(mark(z0))))), U32'(mark(U12(z0))), MARK(U12(z0))) MARK(U32(isNat(z0))) -> c63(ACTIVE(U32(active(isNat(z0)))), U32'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U32(U21(z0))) -> c63(ACTIVE(U32(active(U21(mark(z0))))), U32'(mark(U21(z0))), MARK(U21(z0))) MARK(U32(U31(z0, z1))) -> c63(ACTIVE(U32(active(U31(mark(z0), z1)))), U32'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U32(U32(z0))) -> c63(ACTIVE(U32(active(U32(mark(z0))))), U32'(mark(U32(z0))), MARK(U32(z0))) MARK(U32(U41(z0, z1))) -> c63(ACTIVE(U32(active(U41(mark(z0), z1)))), U32'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U32(U51(z0, z1, z2))) -> c63(ACTIVE(U32(active(U51(mark(z0), z1, z2)))), U32'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U32(U52(z0, z1, z2))) -> c63(ACTIVE(U32(active(U52(mark(z0), z1, z2)))), U32'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U32(s(z0))) -> c63(ACTIVE(U32(active(s(mark(z0))))), U32'(mark(s(z0))), MARK(s(z0))) MARK(U32(plus(z0, z1))) -> c63(ACTIVE(U32(active(plus(mark(z0), mark(z1))))), U32'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U32(U61(z0))) -> c63(ACTIVE(U32(active(U61(mark(z0))))), U32'(mark(U61(z0))), MARK(U61(z0))) MARK(U32(0)) -> c63(ACTIVE(U32(active(0))), U32'(mark(0)), MARK(0)) MARK(U32(U71(z0, z1, z2))) -> c63(ACTIVE(U32(active(U71(mark(z0), z1, z2)))), U32'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U32(U72(z0, z1, z2))) -> c63(ACTIVE(U32(active(U72(mark(z0), z1, z2)))), U32'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U32(x(z0, z1))) -> c63(ACTIVE(U32(active(x(mark(z0), mark(z1))))), U32'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(z0, z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U41(U11(z0, z1), x1)) -> c64(ACTIVE(U41(active(U11(mark(z0), z1)), x1)), U41'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U41(tt, x1)) -> c64(ACTIVE(U41(active(tt), x1)), U41'(mark(tt), x1), MARK(tt)) MARK(U41(U12(z0), x1)) -> c64(ACTIVE(U41(active(U12(mark(z0))), x1)), U41'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U41(isNat(z0), x1)) -> c64(ACTIVE(U41(active(isNat(z0)), x1)), U41'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U41(U21(z0), x1)) -> c64(ACTIVE(U41(active(U21(mark(z0))), x1)), U41'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U41(U31(z0, z1), x1)) -> c64(ACTIVE(U41(active(U31(mark(z0), z1)), x1)), U41'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U41(U32(z0), x1)) -> c64(ACTIVE(U41(active(U32(mark(z0))), x1)), U41'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U41(U41(z0, z1), x1)) -> c64(ACTIVE(U41(active(U41(mark(z0), z1)), x1)), U41'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U41(U51(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U51(mark(z0), z1, z2)), x1)), U41'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U41(U52(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U52(mark(z0), z1, z2)), x1)), U41'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U41(s(z0), x1)) -> c64(ACTIVE(U41(active(s(mark(z0))), x1)), U41'(mark(s(z0)), x1), MARK(s(z0))) MARK(U41(plus(z0, z1), x1)) -> c64(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1)), U41'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U41(U61(z0), x1)) -> c64(ACTIVE(U41(active(U61(mark(z0))), x1)), U41'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U41(0, x1)) -> c64(ACTIVE(U41(active(0), x1)), U41'(mark(0), x1), MARK(0)) MARK(U41(U71(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U71(mark(z0), z1, z2)), x1)), U41'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U41(U72(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U72(mark(z0), z1, z2)), x1)), U41'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U41(x(z0, z1), x1)) -> c64(ACTIVE(U41(active(x(mark(z0), mark(z1))), x1)), U41'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U41(x0, x1)) -> c64(U41'(mark(x0), x1)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) MARK(U32(z0)) -> c63(ACTIVE(U32(z0)), U32'(mark(z0)), MARK(z0)) MARK(U32(U11(z0, z1))) -> c63(ACTIVE(U32(active(U11(mark(z0), z1)))), U32'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U32(tt)) -> c63(ACTIVE(U32(active(tt))), U32'(mark(tt)), MARK(tt)) MARK(U32(U12(z0))) -> c63(ACTIVE(U32(active(U12(mark(z0))))), U32'(mark(U12(z0))), MARK(U12(z0))) MARK(U32(isNat(z0))) -> c63(ACTIVE(U32(active(isNat(z0)))), U32'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U32(U21(z0))) -> c63(ACTIVE(U32(active(U21(mark(z0))))), U32'(mark(U21(z0))), MARK(U21(z0))) MARK(U32(U31(z0, z1))) -> c63(ACTIVE(U32(active(U31(mark(z0), z1)))), U32'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U32(U32(z0))) -> c63(ACTIVE(U32(active(U32(mark(z0))))), U32'(mark(U32(z0))), MARK(U32(z0))) MARK(U32(U41(z0, z1))) -> c63(ACTIVE(U32(active(U41(mark(z0), z1)))), U32'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U32(U51(z0, z1, z2))) -> c63(ACTIVE(U32(active(U51(mark(z0), z1, z2)))), U32'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U32(U52(z0, z1, z2))) -> c63(ACTIVE(U32(active(U52(mark(z0), z1, z2)))), U32'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U32(s(z0))) -> c63(ACTIVE(U32(active(s(mark(z0))))), U32'(mark(s(z0))), MARK(s(z0))) MARK(U32(plus(z0, z1))) -> c63(ACTIVE(U32(active(plus(mark(z0), mark(z1))))), U32'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U32(U61(z0))) -> c63(ACTIVE(U32(active(U61(mark(z0))))), U32'(mark(U61(z0))), MARK(U61(z0))) MARK(U32(0)) -> c63(ACTIVE(U32(active(0))), U32'(mark(0)), MARK(0)) MARK(U32(U71(z0, z1, z2))) -> c63(ACTIVE(U32(active(U71(mark(z0), z1, z2)))), U32'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U32(U72(z0, z1, z2))) -> c63(ACTIVE(U32(active(U72(mark(z0), z1, z2)))), U32'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U32(x(z0, z1))) -> c63(ACTIVE(U32(active(x(mark(z0), mark(z1))))), U32'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(z0, z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U41(U11(z0, z1), x1)) -> c64(ACTIVE(U41(active(U11(mark(z0), z1)), x1)), U41'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U41(tt, x1)) -> c64(ACTIVE(U41(active(tt), x1)), U41'(mark(tt), x1), MARK(tt)) MARK(U41(U12(z0), x1)) -> c64(ACTIVE(U41(active(U12(mark(z0))), x1)), U41'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U41(isNat(z0), x1)) -> c64(ACTIVE(U41(active(isNat(z0)), x1)), U41'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U41(U21(z0), x1)) -> c64(ACTIVE(U41(active(U21(mark(z0))), x1)), U41'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U41(U31(z0, z1), x1)) -> c64(ACTIVE(U41(active(U31(mark(z0), z1)), x1)), U41'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U41(U32(z0), x1)) -> c64(ACTIVE(U41(active(U32(mark(z0))), x1)), U41'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U41(U41(z0, z1), x1)) -> c64(ACTIVE(U41(active(U41(mark(z0), z1)), x1)), U41'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U41(U51(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U51(mark(z0), z1, z2)), x1)), U41'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U41(U52(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U52(mark(z0), z1, z2)), x1)), U41'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U41(s(z0), x1)) -> c64(ACTIVE(U41(active(s(mark(z0))), x1)), U41'(mark(s(z0)), x1), MARK(s(z0))) MARK(U41(plus(z0, z1), x1)) -> c64(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1)), U41'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U41(U61(z0), x1)) -> c64(ACTIVE(U41(active(U61(mark(z0))), x1)), U41'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U41(0, x1)) -> c64(ACTIVE(U41(active(0), x1)), U41'(mark(0), x1), MARK(0)) MARK(U41(U71(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U71(mark(z0), z1, z2)), x1)), U41'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U41(U72(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U72(mark(z0), z1, z2)), x1)), U41'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U41(x(z0, z1), x1)) -> c64(ACTIVE(U41(active(x(mark(z0), mark(z1))), x1)), U41'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U41(x0, x1)) -> c64(U41'(mark(x0), x1)) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ENCARG_1 Compound Symbols: c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c60_2, c65_3, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3, c17_4, c17_3, c18_3, c18_2, c57_3, c57_1, c59_3, c61_3, c62_3, c62_1, c63_3, c64_3, c64_1 ---------------------------------------- (119) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) by MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(z0, z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U51(U11(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U11(mark(z0), z1)), x1, x2)), U51'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U51(tt, x1, x2)) -> c65(ACTIVE(U51(active(tt), x1, x2)), U51'(mark(tt), x1, x2), MARK(tt)) MARK(U51(U12(z0), x1, x2)) -> c65(ACTIVE(U51(active(U12(mark(z0))), x1, x2)), U51'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U51(isNat(z0), x1, x2)) -> c65(ACTIVE(U51(active(isNat(z0)), x1, x2)), U51'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U51(U21(z0), x1, x2)) -> c65(ACTIVE(U51(active(U21(mark(z0))), x1, x2)), U51'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U51(U31(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U31(mark(z0), z1)), x1, x2)), U51'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U51(U32(z0), x1, x2)) -> c65(ACTIVE(U51(active(U32(mark(z0))), x1, x2)), U51'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U51(U41(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U41(mark(z0), z1)), x1, x2)), U51'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U51(U51(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U51(mark(z0), z1, z2)), x1, x2)), U51'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U51(U52(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U52(mark(z0), z1, z2)), x1, x2)), U51'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U51(s(z0), x1, x2)) -> c65(ACTIVE(U51(active(s(mark(z0))), x1, x2)), U51'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U51(plus(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(plus(mark(z0), mark(z1))), x1, x2)), U51'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U51(U61(z0), x1, x2)) -> c65(ACTIVE(U51(active(U61(mark(z0))), x1, x2)), U51'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U51(0, x1, x2)) -> c65(ACTIVE(U51(active(0), x1, x2)), U51'(mark(0), x1, x2), MARK(0)) MARK(U51(U71(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U71(mark(z0), z1, z2)), x1, x2)), U51'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U51(U72(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U72(mark(z0), z1, z2)), x1, x2)), U51'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U51(x(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(x(mark(z0), mark(z1))), x1, x2)), U51'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U51(x0, x1, x2)) -> c65(U51'(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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c18(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c18(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1))) -> c18(X(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_x(x0, cons_U12(z0))) -> c18(X(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c18(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U21(z0))) -> c18(X(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1))) -> c18(X(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_x(x0, cons_U32(z0))) -> c18(X(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c18(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c18(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_U52(z0, z1, z2))) -> c18(X(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c18(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c18(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c18(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c18(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_U72(z0, z1, z2))) -> c18(X(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c18(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(cons_active(z0), x1)) -> c18(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c18(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1), x1)) -> c18(X(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0), x1)) -> c18(X(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c18(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0), x1)) -> c18(X(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1), x1)) -> c18(X(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0), x1)) -> c18(X(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c18(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c18(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U52(z0, z1, z2), x1)) -> c18(X(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c18(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c18(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c18(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c18(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U72(z0, z1, z2), x1)) -> c18(X(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c18(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c18(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c18(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c18(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c18(X(0, encArg(x1)), ENCARG(x1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) MARK(U32(z0)) -> c63(ACTIVE(U32(z0)), U32'(mark(z0)), MARK(z0)) MARK(U32(U11(z0, z1))) -> c63(ACTIVE(U32(active(U11(mark(z0), z1)))), U32'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U32(tt)) -> c63(ACTIVE(U32(active(tt))), U32'(mark(tt)), MARK(tt)) MARK(U32(U12(z0))) -> c63(ACTIVE(U32(active(U12(mark(z0))))), U32'(mark(U12(z0))), MARK(U12(z0))) MARK(U32(isNat(z0))) -> c63(ACTIVE(U32(active(isNat(z0)))), U32'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U32(U21(z0))) -> c63(ACTIVE(U32(active(U21(mark(z0))))), U32'(mark(U21(z0))), MARK(U21(z0))) MARK(U32(U31(z0, z1))) -> c63(ACTIVE(U32(active(U31(mark(z0), z1)))), U32'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U32(U32(z0))) -> c63(ACTIVE(U32(active(U32(mark(z0))))), U32'(mark(U32(z0))), MARK(U32(z0))) MARK(U32(U41(z0, z1))) -> c63(ACTIVE(U32(active(U41(mark(z0), z1)))), U32'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U32(U51(z0, z1, z2))) -> c63(ACTIVE(U32(active(U51(mark(z0), z1, z2)))), U32'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U32(U52(z0, z1, z2))) -> c63(ACTIVE(U32(active(U52(mark(z0), z1, z2)))), U32'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U32(s(z0))) -> c63(ACTIVE(U32(active(s(mark(z0))))), U32'(mark(s(z0))), MARK(s(z0))) MARK(U32(plus(z0, z1))) -> c63(ACTIVE(U32(active(plus(mark(z0), mark(z1))))), U32'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U32(U61(z0))) -> c63(ACTIVE(U32(active(U61(mark(z0))))), U32'(mark(U61(z0))), MARK(U61(z0))) MARK(U32(0)) -> c63(ACTIVE(U32(active(0))), U32'(mark(0)), MARK(0)) MARK(U32(U71(z0, z1, z2))) -> c63(ACTIVE(U32(active(U71(mark(z0), z1, z2)))), U32'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U32(U72(z0, z1, z2))) -> c63(ACTIVE(U32(active(U72(mark(z0), z1, z2)))), U32'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U32(x(z0, z1))) -> c63(ACTIVE(U32(active(x(mark(z0), mark(z1))))), U32'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(z0, z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U41(U11(z0, z1), x1)) -> c64(ACTIVE(U41(active(U11(mark(z0), z1)), x1)), U41'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U41(tt, x1)) -> c64(ACTIVE(U41(active(tt), x1)), U41'(mark(tt), x1), MARK(tt)) MARK(U41(U12(z0), x1)) -> c64(ACTIVE(U41(active(U12(mark(z0))), x1)), U41'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U41(isNat(z0), x1)) -> c64(ACTIVE(U41(active(isNat(z0)), x1)), U41'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U41(U21(z0), x1)) -> c64(ACTIVE(U41(active(U21(mark(z0))), x1)), U41'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U41(U31(z0, z1), x1)) -> c64(ACTIVE(U41(active(U31(mark(z0), z1)), x1)), U41'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U41(U32(z0), x1)) -> c64(ACTIVE(U41(active(U32(mark(z0))), x1)), U41'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U41(U41(z0, z1), x1)) -> c64(ACTIVE(U41(active(U41(mark(z0), z1)), x1)), U41'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U41(U51(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U51(mark(z0), z1, z2)), x1)), U41'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U41(U52(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U52(mark(z0), z1, z2)), x1)), U41'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U41(s(z0), x1)) -> c64(ACTIVE(U41(active(s(mark(z0))), x1)), U41'(mark(s(z0)), x1), MARK(s(z0))) MARK(U41(plus(z0, z1), x1)) -> c64(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1)), U41'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U41(U61(z0), x1)) -> c64(ACTIVE(U41(active(U61(mark(z0))), x1)), U41'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U41(0, x1)) -> c64(ACTIVE(U41(active(0), x1)), U41'(mark(0), x1), MARK(0)) MARK(U41(U71(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U71(mark(z0), z1, z2)), x1)), U41'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U41(U72(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U72(mark(z0), z1, z2)), x1)), U41'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U41(x(z0, z1), x1)) -> c64(ACTIVE(U41(active(x(mark(z0), mark(z1))), x1)), U41'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U41(x0, x1)) -> c64(U41'(mark(x0), x1)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(z0, z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U51(U11(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U11(mark(z0), z1)), x1, x2)), U51'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U51(tt, x1, x2)) -> c65(ACTIVE(U51(active(tt), x1, x2)), U51'(mark(tt), x1, x2), MARK(tt)) MARK(U51(U12(z0), x1, x2)) -> c65(ACTIVE(U51(active(U12(mark(z0))), x1, x2)), U51'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U51(isNat(z0), x1, x2)) -> c65(ACTIVE(U51(active(isNat(z0)), x1, x2)), U51'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U51(U21(z0), x1, x2)) -> c65(ACTIVE(U51(active(U21(mark(z0))), x1, x2)), U51'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U51(U31(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U31(mark(z0), z1)), x1, x2)), U51'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U51(U32(z0), x1, x2)) -> c65(ACTIVE(U51(active(U32(mark(z0))), x1, x2)), U51'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U51(U41(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U41(mark(z0), z1)), x1, x2)), U51'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U51(U51(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U51(mark(z0), z1, z2)), x1, x2)), U51'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U51(U52(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U52(mark(z0), z1, z2)), x1, x2)), U51'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U51(s(z0), x1, x2)) -> c65(ACTIVE(U51(active(s(mark(z0))), x1, x2)), U51'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U51(plus(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(plus(mark(z0), mark(z1))), x1, x2)), U51'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U51(U61(z0), x1, x2)) -> c65(ACTIVE(U51(active(U61(mark(z0))), x1, x2)), U51'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U51(0, x1, x2)) -> c65(ACTIVE(U51(active(0), x1, x2)), U51'(mark(0), x1, x2), MARK(0)) MARK(U51(U71(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U71(mark(z0), z1, z2)), x1, x2)), U51'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U51(U72(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U72(mark(z0), z1, z2)), x1, x2)), U51'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U51(x(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(x(mark(z0), mark(z1))), x1, x2)), U51'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U51(x0, x1, x2)) -> c65(U51'(mark(x0), x1, x2)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) MARK(U32(z0)) -> c63(ACTIVE(U32(z0)), U32'(mark(z0)), MARK(z0)) MARK(U32(U11(z0, z1))) -> c63(ACTIVE(U32(active(U11(mark(z0), z1)))), U32'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U32(tt)) -> c63(ACTIVE(U32(active(tt))), U32'(mark(tt)), MARK(tt)) MARK(U32(U12(z0))) -> c63(ACTIVE(U32(active(U12(mark(z0))))), U32'(mark(U12(z0))), MARK(U12(z0))) MARK(U32(isNat(z0))) -> c63(ACTIVE(U32(active(isNat(z0)))), U32'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U32(U21(z0))) -> c63(ACTIVE(U32(active(U21(mark(z0))))), U32'(mark(U21(z0))), MARK(U21(z0))) MARK(U32(U31(z0, z1))) -> c63(ACTIVE(U32(active(U31(mark(z0), z1)))), U32'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U32(U32(z0))) -> c63(ACTIVE(U32(active(U32(mark(z0))))), U32'(mark(U32(z0))), MARK(U32(z0))) MARK(U32(U41(z0, z1))) -> c63(ACTIVE(U32(active(U41(mark(z0), z1)))), U32'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U32(U51(z0, z1, z2))) -> c63(ACTIVE(U32(active(U51(mark(z0), z1, z2)))), U32'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U32(U52(z0, z1, z2))) -> c63(ACTIVE(U32(active(U52(mark(z0), z1, z2)))), U32'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U32(s(z0))) -> c63(ACTIVE(U32(active(s(mark(z0))))), U32'(mark(s(z0))), MARK(s(z0))) MARK(U32(plus(z0, z1))) -> c63(ACTIVE(U32(active(plus(mark(z0), mark(z1))))), U32'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U32(U61(z0))) -> c63(ACTIVE(U32(active(U61(mark(z0))))), U32'(mark(U61(z0))), MARK(U61(z0))) MARK(U32(0)) -> c63(ACTIVE(U32(active(0))), U32'(mark(0)), MARK(0)) MARK(U32(U71(z0, z1, z2))) -> c63(ACTIVE(U32(active(U71(mark(z0), z1, z2)))), U32'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U32(U72(z0, z1, z2))) -> c63(ACTIVE(U32(active(U72(mark(z0), z1, z2)))), U32'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U32(x(z0, z1))) -> c63(ACTIVE(U32(active(x(mark(z0), mark(z1))))), U32'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(z0, z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U41(U11(z0, z1), x1)) -> c64(ACTIVE(U41(active(U11(mark(z0), z1)), x1)), U41'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U41(tt, x1)) -> c64(ACTIVE(U41(active(tt), x1)), U41'(mark(tt), x1), MARK(tt)) MARK(U41(U12(z0), x1)) -> c64(ACTIVE(U41(active(U12(mark(z0))), x1)), U41'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U41(isNat(z0), x1)) -> c64(ACTIVE(U41(active(isNat(z0)), x1)), U41'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U41(U21(z0), x1)) -> c64(ACTIVE(U41(active(U21(mark(z0))), x1)), U41'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U41(U31(z0, z1), x1)) -> c64(ACTIVE(U41(active(U31(mark(z0), z1)), x1)), U41'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U41(U32(z0), x1)) -> c64(ACTIVE(U41(active(U32(mark(z0))), x1)), U41'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U41(U41(z0, z1), x1)) -> c64(ACTIVE(U41(active(U41(mark(z0), z1)), x1)), U41'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U41(U51(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U51(mark(z0), z1, z2)), x1)), U41'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U41(U52(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U52(mark(z0), z1, z2)), x1)), U41'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U41(s(z0), x1)) -> c64(ACTIVE(U41(active(s(mark(z0))), x1)), U41'(mark(s(z0)), x1), MARK(s(z0))) MARK(U41(plus(z0, z1), x1)) -> c64(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1)), U41'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U41(U61(z0), x1)) -> c64(ACTIVE(U41(active(U61(mark(z0))), x1)), U41'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U41(0, x1)) -> c64(ACTIVE(U41(active(0), x1)), U41'(mark(0), x1), MARK(0)) MARK(U41(U71(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U71(mark(z0), z1, z2)), x1)), U41'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U41(U72(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U72(mark(z0), z1, z2)), x1)), U41'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U41(x(z0, z1), x1)) -> c64(ACTIVE(U41(active(x(mark(z0), mark(z1))), x1)), U41'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U41(x0, x1)) -> c64(U41'(mark(x0), x1)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(z0, z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U51(U11(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U11(mark(z0), z1)), x1, x2)), U51'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U51(tt, x1, x2)) -> c65(ACTIVE(U51(active(tt), x1, x2)), U51'(mark(tt), x1, x2), MARK(tt)) MARK(U51(U12(z0), x1, x2)) -> c65(ACTIVE(U51(active(U12(mark(z0))), x1, x2)), U51'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U51(isNat(z0), x1, x2)) -> c65(ACTIVE(U51(active(isNat(z0)), x1, x2)), U51'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U51(U21(z0), x1, x2)) -> c65(ACTIVE(U51(active(U21(mark(z0))), x1, x2)), U51'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U51(U31(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U31(mark(z0), z1)), x1, x2)), U51'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U51(U32(z0), x1, x2)) -> c65(ACTIVE(U51(active(U32(mark(z0))), x1, x2)), U51'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U51(U41(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U41(mark(z0), z1)), x1, x2)), U51'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U51(U51(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U51(mark(z0), z1, z2)), x1, x2)), U51'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U51(U52(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U52(mark(z0), z1, z2)), x1, x2)), U51'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U51(s(z0), x1, x2)) -> c65(ACTIVE(U51(active(s(mark(z0))), x1, x2)), U51'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U51(plus(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(plus(mark(z0), mark(z1))), x1, x2)), U51'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U51(U61(z0), x1, x2)) -> c65(ACTIVE(U51(active(U61(mark(z0))), x1, x2)), U51'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U51(0, x1, x2)) -> c65(ACTIVE(U51(active(0), x1, x2)), U51'(mark(0), x1, x2), MARK(0)) MARK(U51(U71(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U71(mark(z0), z1, z2)), x1, x2)), U51'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U51(U72(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U72(mark(z0), z1, z2)), x1, x2)), U51'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U51(x(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(x(mark(z0), mark(z1))), x1, x2)), U51'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U51(x0, x1, x2)) -> c65(U51'(mark(x0), x1, x2)) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ENCARG_1 Compound Symbols: c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c60_2, c66_3, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3, c17_4, c17_3, c18_3, c18_2, c57_3, c57_1, c59_3, c61_3, c62_3, c62_1, c63_3, c64_3, c64_1, c65_3, c65_1 ---------------------------------------- (121) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(mark(z0), z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) by MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(z0, z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(U52(U11(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U11(mark(z0), z1)), x1, x2)), U52'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U52(tt, x1, x2)) -> c66(ACTIVE(U52(active(tt), x1, x2)), U52'(mark(tt), x1, x2), MARK(tt)) MARK(U52(U12(z0), x1, x2)) -> c66(ACTIVE(U52(active(U12(mark(z0))), x1, x2)), U52'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U52(isNat(z0), x1, x2)) -> c66(ACTIVE(U52(active(isNat(z0)), x1, x2)), U52'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U52(U21(z0), x1, x2)) -> c66(ACTIVE(U52(active(U21(mark(z0))), x1, x2)), U52'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U52(U31(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U31(mark(z0), z1)), x1, x2)), U52'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U52(U32(z0), x1, x2)) -> c66(ACTIVE(U52(active(U32(mark(z0))), x1, x2)), U52'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U52(U41(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U41(mark(z0), z1)), x1, x2)), U52'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U52(U51(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U51(mark(z0), z1, z2)), x1, x2)), U52'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U52(U52(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U52(mark(z0), z1, z2)), x1, x2)), U52'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U52(s(z0), x1, x2)) -> c66(ACTIVE(U52(active(s(mark(z0))), x1, x2)), U52'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U52(plus(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(plus(mark(z0), mark(z1))), x1, x2)), U52'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U52(U61(z0), x1, x2)) -> c66(ACTIVE(U52(active(U61(mark(z0))), x1, x2)), U52'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U52(0, x1, x2)) -> c66(ACTIVE(U52(active(0), x1, x2)), U52'(mark(0), x1, x2), MARK(0)) MARK(U52(U71(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U71(mark(z0), z1, z2)), x1, x2)), U52'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U52(U72(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U72(mark(z0), z1, z2)), x1, x2)), U52'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U52(x(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(x(mark(z0), mark(z1))), x1, x2)), U52'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U52(x0, x1, x2)) -> c66(U52'(mark(x0), x1, x2)) ---------------------------------------- (122) Obligation: Complexity Dependency Tuples Problem Rules: encArg(tt) -> tt encArg(0) -> 0 encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c18(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c18(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1))) -> c18(X(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_x(x0, cons_U12(z0))) -> c18(X(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c18(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U21(z0))) -> c18(X(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1))) -> c18(X(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_x(x0, cons_U32(z0))) -> c18(X(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c18(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c18(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_U52(z0, z1, z2))) -> c18(X(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c18(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c18(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c18(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c18(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_U72(z0, z1, z2))) -> c18(X(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c18(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(cons_active(z0), x1)) -> c18(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c18(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1), x1)) -> c18(X(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0), x1)) -> c18(X(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c18(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0), x1)) -> c18(X(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1), x1)) -> c18(X(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0), x1)) -> c18(X(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c18(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c18(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U52(z0, z1, z2), x1)) -> c18(X(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c18(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c18(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c18(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c18(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U72(z0, z1, z2), x1)) -> c18(X(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c18(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c18(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c18(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c18(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c18(X(0, encArg(x1)), ENCARG(x1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) MARK(U32(z0)) -> c63(ACTIVE(U32(z0)), U32'(mark(z0)), MARK(z0)) MARK(U32(U11(z0, z1))) -> c63(ACTIVE(U32(active(U11(mark(z0), z1)))), U32'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U32(tt)) -> c63(ACTIVE(U32(active(tt))), U32'(mark(tt)), MARK(tt)) MARK(U32(U12(z0))) -> c63(ACTIVE(U32(active(U12(mark(z0))))), U32'(mark(U12(z0))), MARK(U12(z0))) MARK(U32(isNat(z0))) -> c63(ACTIVE(U32(active(isNat(z0)))), U32'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U32(U21(z0))) -> c63(ACTIVE(U32(active(U21(mark(z0))))), U32'(mark(U21(z0))), MARK(U21(z0))) MARK(U32(U31(z0, z1))) -> c63(ACTIVE(U32(active(U31(mark(z0), z1)))), U32'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U32(U32(z0))) -> c63(ACTIVE(U32(active(U32(mark(z0))))), U32'(mark(U32(z0))), MARK(U32(z0))) MARK(U32(U41(z0, z1))) -> c63(ACTIVE(U32(active(U41(mark(z0), z1)))), U32'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U32(U51(z0, z1, z2))) -> c63(ACTIVE(U32(active(U51(mark(z0), z1, z2)))), U32'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U32(U52(z0, z1, z2))) -> c63(ACTIVE(U32(active(U52(mark(z0), z1, z2)))), U32'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U32(s(z0))) -> c63(ACTIVE(U32(active(s(mark(z0))))), U32'(mark(s(z0))), MARK(s(z0))) MARK(U32(plus(z0, z1))) -> c63(ACTIVE(U32(active(plus(mark(z0), mark(z1))))), U32'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U32(U61(z0))) -> c63(ACTIVE(U32(active(U61(mark(z0))))), U32'(mark(U61(z0))), MARK(U61(z0))) MARK(U32(0)) -> c63(ACTIVE(U32(active(0))), U32'(mark(0)), MARK(0)) MARK(U32(U71(z0, z1, z2))) -> c63(ACTIVE(U32(active(U71(mark(z0), z1, z2)))), U32'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U32(U72(z0, z1, z2))) -> c63(ACTIVE(U32(active(U72(mark(z0), z1, z2)))), U32'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U32(x(z0, z1))) -> c63(ACTIVE(U32(active(x(mark(z0), mark(z1))))), U32'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(z0, z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U41(U11(z0, z1), x1)) -> c64(ACTIVE(U41(active(U11(mark(z0), z1)), x1)), U41'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U41(tt, x1)) -> c64(ACTIVE(U41(active(tt), x1)), U41'(mark(tt), x1), MARK(tt)) MARK(U41(U12(z0), x1)) -> c64(ACTIVE(U41(active(U12(mark(z0))), x1)), U41'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U41(isNat(z0), x1)) -> c64(ACTIVE(U41(active(isNat(z0)), x1)), U41'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U41(U21(z0), x1)) -> c64(ACTIVE(U41(active(U21(mark(z0))), x1)), U41'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U41(U31(z0, z1), x1)) -> c64(ACTIVE(U41(active(U31(mark(z0), z1)), x1)), U41'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U41(U32(z0), x1)) -> c64(ACTIVE(U41(active(U32(mark(z0))), x1)), U41'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U41(U41(z0, z1), x1)) -> c64(ACTIVE(U41(active(U41(mark(z0), z1)), x1)), U41'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U41(U51(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U51(mark(z0), z1, z2)), x1)), U41'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U41(U52(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U52(mark(z0), z1, z2)), x1)), U41'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U41(s(z0), x1)) -> c64(ACTIVE(U41(active(s(mark(z0))), x1)), U41'(mark(s(z0)), x1), MARK(s(z0))) MARK(U41(plus(z0, z1), x1)) -> c64(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1)), U41'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U41(U61(z0), x1)) -> c64(ACTIVE(U41(active(U61(mark(z0))), x1)), U41'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U41(0, x1)) -> c64(ACTIVE(U41(active(0), x1)), U41'(mark(0), x1), MARK(0)) MARK(U41(U71(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U71(mark(z0), z1, z2)), x1)), U41'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U41(U72(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U72(mark(z0), z1, z2)), x1)), U41'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U41(x(z0, z1), x1)) -> c64(ACTIVE(U41(active(x(mark(z0), mark(z1))), x1)), U41'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U41(x0, x1)) -> c64(U41'(mark(x0), x1)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(z0, z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U51(U11(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U11(mark(z0), z1)), x1, x2)), U51'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U51(tt, x1, x2)) -> c65(ACTIVE(U51(active(tt), x1, x2)), U51'(mark(tt), x1, x2), MARK(tt)) MARK(U51(U12(z0), x1, x2)) -> c65(ACTIVE(U51(active(U12(mark(z0))), x1, x2)), U51'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U51(isNat(z0), x1, x2)) -> c65(ACTIVE(U51(active(isNat(z0)), x1, x2)), U51'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U51(U21(z0), x1, x2)) -> c65(ACTIVE(U51(active(U21(mark(z0))), x1, x2)), U51'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U51(U31(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U31(mark(z0), z1)), x1, x2)), U51'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U51(U32(z0), x1, x2)) -> c65(ACTIVE(U51(active(U32(mark(z0))), x1, x2)), U51'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U51(U41(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U41(mark(z0), z1)), x1, x2)), U51'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U51(U51(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U51(mark(z0), z1, z2)), x1, x2)), U51'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U51(U52(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U52(mark(z0), z1, z2)), x1, x2)), U51'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U51(s(z0), x1, x2)) -> c65(ACTIVE(U51(active(s(mark(z0))), x1, x2)), U51'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U51(plus(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(plus(mark(z0), mark(z1))), x1, x2)), U51'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U51(U61(z0), x1, x2)) -> c65(ACTIVE(U51(active(U61(mark(z0))), x1, x2)), U51'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U51(0, x1, x2)) -> c65(ACTIVE(U51(active(0), x1, x2)), U51'(mark(0), x1, x2), MARK(0)) MARK(U51(U71(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U71(mark(z0), z1, z2)), x1, x2)), U51'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U51(U72(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U72(mark(z0), z1, z2)), x1, x2)), U51'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U51(x(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(x(mark(z0), mark(z1))), x1, x2)), U51'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U51(x0, x1, x2)) -> c65(U51'(mark(x0), x1, x2)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(z0, z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(U52(U11(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U11(mark(z0), z1)), x1, x2)), U52'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U52(tt, x1, x2)) -> c66(ACTIVE(U52(active(tt), x1, x2)), U52'(mark(tt), x1, x2), MARK(tt)) MARK(U52(U12(z0), x1, x2)) -> c66(ACTIVE(U52(active(U12(mark(z0))), x1, x2)), U52'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U52(isNat(z0), x1, x2)) -> c66(ACTIVE(U52(active(isNat(z0)), x1, x2)), U52'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U52(U21(z0), x1, x2)) -> c66(ACTIVE(U52(active(U21(mark(z0))), x1, x2)), U52'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U52(U31(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U31(mark(z0), z1)), x1, x2)), U52'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U52(U32(z0), x1, x2)) -> c66(ACTIVE(U52(active(U32(mark(z0))), x1, x2)), U52'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U52(U41(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U41(mark(z0), z1)), x1, x2)), U52'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U52(U51(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U51(mark(z0), z1, z2)), x1, x2)), U52'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U52(U52(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U52(mark(z0), z1, z2)), x1, x2)), U52'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U52(s(z0), x1, x2)) -> c66(ACTIVE(U52(active(s(mark(z0))), x1, x2)), U52'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U52(plus(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(plus(mark(z0), mark(z1))), x1, x2)), U52'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U52(U61(z0), x1, x2)) -> c66(ACTIVE(U52(active(U61(mark(z0))), x1, x2)), U52'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U52(0, x1, x2)) -> c66(ACTIVE(U52(active(0), x1, x2)), U52'(mark(0), x1, x2), MARK(0)) MARK(U52(U71(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U71(mark(z0), z1, z2)), x1, x2)), U52'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U52(U72(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U72(mark(z0), z1, z2)), x1, x2)), U52'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U52(x(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(x(mark(z0), mark(z1))), x1, x2)), U52'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U52(x0, x1, x2)) -> c66(U52'(mark(x0), x1, x2)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) MARK(U32(z0)) -> c63(ACTIVE(U32(z0)), U32'(mark(z0)), MARK(z0)) MARK(U32(U11(z0, z1))) -> c63(ACTIVE(U32(active(U11(mark(z0), z1)))), U32'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U32(tt)) -> c63(ACTIVE(U32(active(tt))), U32'(mark(tt)), MARK(tt)) MARK(U32(U12(z0))) -> c63(ACTIVE(U32(active(U12(mark(z0))))), U32'(mark(U12(z0))), MARK(U12(z0))) MARK(U32(isNat(z0))) -> c63(ACTIVE(U32(active(isNat(z0)))), U32'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U32(U21(z0))) -> c63(ACTIVE(U32(active(U21(mark(z0))))), U32'(mark(U21(z0))), MARK(U21(z0))) MARK(U32(U31(z0, z1))) -> c63(ACTIVE(U32(active(U31(mark(z0), z1)))), U32'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U32(U32(z0))) -> c63(ACTIVE(U32(active(U32(mark(z0))))), U32'(mark(U32(z0))), MARK(U32(z0))) MARK(U32(U41(z0, z1))) -> c63(ACTIVE(U32(active(U41(mark(z0), z1)))), U32'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U32(U51(z0, z1, z2))) -> c63(ACTIVE(U32(active(U51(mark(z0), z1, z2)))), U32'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U32(U52(z0, z1, z2))) -> c63(ACTIVE(U32(active(U52(mark(z0), z1, z2)))), U32'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U32(s(z0))) -> c63(ACTIVE(U32(active(s(mark(z0))))), U32'(mark(s(z0))), MARK(s(z0))) MARK(U32(plus(z0, z1))) -> c63(ACTIVE(U32(active(plus(mark(z0), mark(z1))))), U32'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U32(U61(z0))) -> c63(ACTIVE(U32(active(U61(mark(z0))))), U32'(mark(U61(z0))), MARK(U61(z0))) MARK(U32(0)) -> c63(ACTIVE(U32(active(0))), U32'(mark(0)), MARK(0)) MARK(U32(U71(z0, z1, z2))) -> c63(ACTIVE(U32(active(U71(mark(z0), z1, z2)))), U32'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U32(U72(z0, z1, z2))) -> c63(ACTIVE(U32(active(U72(mark(z0), z1, z2)))), U32'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U32(x(z0, z1))) -> c63(ACTIVE(U32(active(x(mark(z0), mark(z1))))), U32'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(z0, z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U41(U11(z0, z1), x1)) -> c64(ACTIVE(U41(active(U11(mark(z0), z1)), x1)), U41'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U41(tt, x1)) -> c64(ACTIVE(U41(active(tt), x1)), U41'(mark(tt), x1), MARK(tt)) MARK(U41(U12(z0), x1)) -> c64(ACTIVE(U41(active(U12(mark(z0))), x1)), U41'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U41(isNat(z0), x1)) -> c64(ACTIVE(U41(active(isNat(z0)), x1)), U41'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U41(U21(z0), x1)) -> c64(ACTIVE(U41(active(U21(mark(z0))), x1)), U41'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U41(U31(z0, z1), x1)) -> c64(ACTIVE(U41(active(U31(mark(z0), z1)), x1)), U41'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U41(U32(z0), x1)) -> c64(ACTIVE(U41(active(U32(mark(z0))), x1)), U41'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U41(U41(z0, z1), x1)) -> c64(ACTIVE(U41(active(U41(mark(z0), z1)), x1)), U41'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U41(U51(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U51(mark(z0), z1, z2)), x1)), U41'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U41(U52(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U52(mark(z0), z1, z2)), x1)), U41'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U41(s(z0), x1)) -> c64(ACTIVE(U41(active(s(mark(z0))), x1)), U41'(mark(s(z0)), x1), MARK(s(z0))) MARK(U41(plus(z0, z1), x1)) -> c64(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1)), U41'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U41(U61(z0), x1)) -> c64(ACTIVE(U41(active(U61(mark(z0))), x1)), U41'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U41(0, x1)) -> c64(ACTIVE(U41(active(0), x1)), U41'(mark(0), x1), MARK(0)) MARK(U41(U71(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U71(mark(z0), z1, z2)), x1)), U41'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U41(U72(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U72(mark(z0), z1, z2)), x1)), U41'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U41(x(z0, z1), x1)) -> c64(ACTIVE(U41(active(x(mark(z0), mark(z1))), x1)), U41'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U41(x0, x1)) -> c64(U41'(mark(x0), x1)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(z0, z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U51(U11(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U11(mark(z0), z1)), x1, x2)), U51'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U51(tt, x1, x2)) -> c65(ACTIVE(U51(active(tt), x1, x2)), U51'(mark(tt), x1, x2), MARK(tt)) MARK(U51(U12(z0), x1, x2)) -> c65(ACTIVE(U51(active(U12(mark(z0))), x1, x2)), U51'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U51(isNat(z0), x1, x2)) -> c65(ACTIVE(U51(active(isNat(z0)), x1, x2)), U51'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U51(U21(z0), x1, x2)) -> c65(ACTIVE(U51(active(U21(mark(z0))), x1, x2)), U51'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U51(U31(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U31(mark(z0), z1)), x1, x2)), U51'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U51(U32(z0), x1, x2)) -> c65(ACTIVE(U51(active(U32(mark(z0))), x1, x2)), U51'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U51(U41(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U41(mark(z0), z1)), x1, x2)), U51'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U51(U51(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U51(mark(z0), z1, z2)), x1, x2)), U51'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U51(U52(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U52(mark(z0), z1, z2)), x1, x2)), U51'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U51(s(z0), x1, x2)) -> c65(ACTIVE(U51(active(s(mark(z0))), x1, x2)), U51'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U51(plus(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(plus(mark(z0), mark(z1))), x1, x2)), U51'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U51(U61(z0), x1, x2)) -> c65(ACTIVE(U51(active(U61(mark(z0))), x1, x2)), U51'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U51(0, x1, x2)) -> c65(ACTIVE(U51(active(0), x1, x2)), U51'(mark(0), x1, x2), MARK(0)) MARK(U51(U71(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U71(mark(z0), z1, z2)), x1, x2)), U51'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U51(U72(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U72(mark(z0), z1, z2)), x1, x2)), U51'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U51(x(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(x(mark(z0), mark(z1))), x1, x2)), U51'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U51(x0, x1, x2)) -> c65(U51'(mark(x0), x1, x2)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(z0, z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(U52(U11(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U11(mark(z0), z1)), x1, x2)), U52'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U52(tt, x1, x2)) -> c66(ACTIVE(U52(active(tt), x1, x2)), U52'(mark(tt), x1, x2), MARK(tt)) MARK(U52(U12(z0), x1, x2)) -> c66(ACTIVE(U52(active(U12(mark(z0))), x1, x2)), U52'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U52(isNat(z0), x1, x2)) -> c66(ACTIVE(U52(active(isNat(z0)), x1, x2)), U52'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U52(U21(z0), x1, x2)) -> c66(ACTIVE(U52(active(U21(mark(z0))), x1, x2)), U52'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U52(U31(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U31(mark(z0), z1)), x1, x2)), U52'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U52(U32(z0), x1, x2)) -> c66(ACTIVE(U52(active(U32(mark(z0))), x1, x2)), U52'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U52(U41(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U41(mark(z0), z1)), x1, x2)), U52'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U52(U51(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U51(mark(z0), z1, z2)), x1, x2)), U52'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U52(U52(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U52(mark(z0), z1, z2)), x1, x2)), U52'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U52(s(z0), x1, x2)) -> c66(ACTIVE(U52(active(s(mark(z0))), x1, x2)), U52'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U52(plus(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(plus(mark(z0), mark(z1))), x1, x2)), U52'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U52(U61(z0), x1, x2)) -> c66(ACTIVE(U52(active(U61(mark(z0))), x1, x2)), U52'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U52(0, x1, x2)) -> c66(ACTIVE(U52(active(0), x1, x2)), U52'(mark(0), x1, x2), MARK(0)) MARK(U52(U71(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U71(mark(z0), z1, z2)), x1, x2)), U52'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U52(U72(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U72(mark(z0), z1, z2)), x1, x2)), U52'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U52(x(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(x(mark(z0), mark(z1))), x1, x2)), U52'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U52(x0, x1, x2)) -> c66(U52'(mark(x0), x1, x2)) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ENCARG_1 Compound Symbols: c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c60_2, c67_3, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3, c17_4, c17_3, c18_3, c18_2, c57_3, c57_1, c59_3, c61_3, c62_3, c62_1, c63_3, c64_3, c64_1, c65_3, c65_1, c66_3, c66_1 ---------------------------------------- (123) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(s(z0)) -> c67(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) by MARK(s(z0)) -> c67(ACTIVE(s(z0)), S(mark(z0)), MARK(z0)) MARK(s(U11(z0, z1))) -> c67(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(s(tt)) -> c67(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt)) MARK(s(U12(z0))) -> c67(ACTIVE(s(active(U12(mark(z0))))), S(mark(U12(z0))), MARK(U12(z0))) MARK(s(isNat(z0))) -> c67(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0))) MARK(s(U21(z0))) -> c67(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0))) MARK(s(U31(z0, z1))) -> c67(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(s(U32(z0))) -> c67(ACTIVE(s(active(U32(mark(z0))))), S(mark(U32(z0))), MARK(U32(z0))) MARK(s(U41(z0, z1))) -> c67(ACTIVE(s(active(U41(mark(z0), z1)))), S(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(s(U51(z0, z1, z2))) -> c67(ACTIVE(s(active(U51(mark(z0), z1, z2)))), S(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(s(U52(z0, z1, z2))) -> c67(ACTIVE(s(active(U52(mark(z0), z1, z2)))), S(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(s(s(z0))) -> c67(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(plus(z0, z1))) -> c67(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(s(U61(z0))) -> c67(ACTIVE(s(active(U61(mark(z0))))), S(mark(U61(z0))), MARK(U61(z0))) MARK(s(0)) -> c67(ACTIVE(s(active(0))), S(mark(0)), MARK(0)) MARK(s(U71(z0, z1, z2))) -> c67(ACTIVE(s(active(U71(mark(z0), z1, z2)))), S(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(s(U72(z0, z1, z2))) -> c67(ACTIVE(s(active(U72(mark(z0), z1, z2)))), S(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(s(x(z0, z1))) -> c67(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1))) ---------------------------------------- (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)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c18(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c18(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1))) -> c18(X(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_x(x0, cons_U12(z0))) -> c18(X(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c18(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U21(z0))) -> c18(X(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1))) -> c18(X(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_x(x0, cons_U32(z0))) -> c18(X(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c18(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c18(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_U52(z0, z1, z2))) -> c18(X(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c18(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c18(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c18(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c18(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_U72(z0, z1, z2))) -> c18(X(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c18(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(cons_active(z0), x1)) -> c18(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c18(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1), x1)) -> c18(X(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0), x1)) -> c18(X(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c18(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0), x1)) -> c18(X(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1), x1)) -> c18(X(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0), x1)) -> c18(X(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c18(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c18(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U52(z0, z1, z2), x1)) -> c18(X(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c18(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c18(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c18(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c18(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U72(z0, z1, z2), x1)) -> c18(X(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c18(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c18(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c18(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c18(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c18(X(0, encArg(x1)), ENCARG(x1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) MARK(U32(z0)) -> c63(ACTIVE(U32(z0)), U32'(mark(z0)), MARK(z0)) MARK(U32(U11(z0, z1))) -> c63(ACTIVE(U32(active(U11(mark(z0), z1)))), U32'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U32(tt)) -> c63(ACTIVE(U32(active(tt))), U32'(mark(tt)), MARK(tt)) MARK(U32(U12(z0))) -> c63(ACTIVE(U32(active(U12(mark(z0))))), U32'(mark(U12(z0))), MARK(U12(z0))) MARK(U32(isNat(z0))) -> c63(ACTIVE(U32(active(isNat(z0)))), U32'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U32(U21(z0))) -> c63(ACTIVE(U32(active(U21(mark(z0))))), U32'(mark(U21(z0))), MARK(U21(z0))) MARK(U32(U31(z0, z1))) -> c63(ACTIVE(U32(active(U31(mark(z0), z1)))), U32'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U32(U32(z0))) -> c63(ACTIVE(U32(active(U32(mark(z0))))), U32'(mark(U32(z0))), MARK(U32(z0))) MARK(U32(U41(z0, z1))) -> c63(ACTIVE(U32(active(U41(mark(z0), z1)))), U32'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U32(U51(z0, z1, z2))) -> c63(ACTIVE(U32(active(U51(mark(z0), z1, z2)))), U32'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U32(U52(z0, z1, z2))) -> c63(ACTIVE(U32(active(U52(mark(z0), z1, z2)))), U32'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U32(s(z0))) -> c63(ACTIVE(U32(active(s(mark(z0))))), U32'(mark(s(z0))), MARK(s(z0))) MARK(U32(plus(z0, z1))) -> c63(ACTIVE(U32(active(plus(mark(z0), mark(z1))))), U32'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U32(U61(z0))) -> c63(ACTIVE(U32(active(U61(mark(z0))))), U32'(mark(U61(z0))), MARK(U61(z0))) MARK(U32(0)) -> c63(ACTIVE(U32(active(0))), U32'(mark(0)), MARK(0)) MARK(U32(U71(z0, z1, z2))) -> c63(ACTIVE(U32(active(U71(mark(z0), z1, z2)))), U32'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U32(U72(z0, z1, z2))) -> c63(ACTIVE(U32(active(U72(mark(z0), z1, z2)))), U32'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U32(x(z0, z1))) -> c63(ACTIVE(U32(active(x(mark(z0), mark(z1))))), U32'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(z0, z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U41(U11(z0, z1), x1)) -> c64(ACTIVE(U41(active(U11(mark(z0), z1)), x1)), U41'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U41(tt, x1)) -> c64(ACTIVE(U41(active(tt), x1)), U41'(mark(tt), x1), MARK(tt)) MARK(U41(U12(z0), x1)) -> c64(ACTIVE(U41(active(U12(mark(z0))), x1)), U41'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U41(isNat(z0), x1)) -> c64(ACTIVE(U41(active(isNat(z0)), x1)), U41'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U41(U21(z0), x1)) -> c64(ACTIVE(U41(active(U21(mark(z0))), x1)), U41'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U41(U31(z0, z1), x1)) -> c64(ACTIVE(U41(active(U31(mark(z0), z1)), x1)), U41'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U41(U32(z0), x1)) -> c64(ACTIVE(U41(active(U32(mark(z0))), x1)), U41'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U41(U41(z0, z1), x1)) -> c64(ACTIVE(U41(active(U41(mark(z0), z1)), x1)), U41'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U41(U51(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U51(mark(z0), z1, z2)), x1)), U41'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U41(U52(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U52(mark(z0), z1, z2)), x1)), U41'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U41(s(z0), x1)) -> c64(ACTIVE(U41(active(s(mark(z0))), x1)), U41'(mark(s(z0)), x1), MARK(s(z0))) MARK(U41(plus(z0, z1), x1)) -> c64(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1)), U41'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U41(U61(z0), x1)) -> c64(ACTIVE(U41(active(U61(mark(z0))), x1)), U41'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U41(0, x1)) -> c64(ACTIVE(U41(active(0), x1)), U41'(mark(0), x1), MARK(0)) MARK(U41(U71(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U71(mark(z0), z1, z2)), x1)), U41'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U41(U72(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U72(mark(z0), z1, z2)), x1)), U41'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U41(x(z0, z1), x1)) -> c64(ACTIVE(U41(active(x(mark(z0), mark(z1))), x1)), U41'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U41(x0, x1)) -> c64(U41'(mark(x0), x1)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(z0, z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U51(U11(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U11(mark(z0), z1)), x1, x2)), U51'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U51(tt, x1, x2)) -> c65(ACTIVE(U51(active(tt), x1, x2)), U51'(mark(tt), x1, x2), MARK(tt)) MARK(U51(U12(z0), x1, x2)) -> c65(ACTIVE(U51(active(U12(mark(z0))), x1, x2)), U51'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U51(isNat(z0), x1, x2)) -> c65(ACTIVE(U51(active(isNat(z0)), x1, x2)), U51'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U51(U21(z0), x1, x2)) -> c65(ACTIVE(U51(active(U21(mark(z0))), x1, x2)), U51'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U51(U31(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U31(mark(z0), z1)), x1, x2)), U51'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U51(U32(z0), x1, x2)) -> c65(ACTIVE(U51(active(U32(mark(z0))), x1, x2)), U51'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U51(U41(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U41(mark(z0), z1)), x1, x2)), U51'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U51(U51(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U51(mark(z0), z1, z2)), x1, x2)), U51'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U51(U52(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U52(mark(z0), z1, z2)), x1, x2)), U51'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U51(s(z0), x1, x2)) -> c65(ACTIVE(U51(active(s(mark(z0))), x1, x2)), U51'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U51(plus(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(plus(mark(z0), mark(z1))), x1, x2)), U51'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U51(U61(z0), x1, x2)) -> c65(ACTIVE(U51(active(U61(mark(z0))), x1, x2)), U51'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U51(0, x1, x2)) -> c65(ACTIVE(U51(active(0), x1, x2)), U51'(mark(0), x1, x2), MARK(0)) MARK(U51(U71(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U71(mark(z0), z1, z2)), x1, x2)), U51'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U51(U72(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U72(mark(z0), z1, z2)), x1, x2)), U51'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U51(x(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(x(mark(z0), mark(z1))), x1, x2)), U51'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U51(x0, x1, x2)) -> c65(U51'(mark(x0), x1, x2)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(z0, z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(U52(U11(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U11(mark(z0), z1)), x1, x2)), U52'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U52(tt, x1, x2)) -> c66(ACTIVE(U52(active(tt), x1, x2)), U52'(mark(tt), x1, x2), MARK(tt)) MARK(U52(U12(z0), x1, x2)) -> c66(ACTIVE(U52(active(U12(mark(z0))), x1, x2)), U52'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U52(isNat(z0), x1, x2)) -> c66(ACTIVE(U52(active(isNat(z0)), x1, x2)), U52'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U52(U21(z0), x1, x2)) -> c66(ACTIVE(U52(active(U21(mark(z0))), x1, x2)), U52'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U52(U31(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U31(mark(z0), z1)), x1, x2)), U52'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U52(U32(z0), x1, x2)) -> c66(ACTIVE(U52(active(U32(mark(z0))), x1, x2)), U52'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U52(U41(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U41(mark(z0), z1)), x1, x2)), U52'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U52(U51(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U51(mark(z0), z1, z2)), x1, x2)), U52'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U52(U52(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U52(mark(z0), z1, z2)), x1, x2)), U52'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U52(s(z0), x1, x2)) -> c66(ACTIVE(U52(active(s(mark(z0))), x1, x2)), U52'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U52(plus(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(plus(mark(z0), mark(z1))), x1, x2)), U52'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U52(U61(z0), x1, x2)) -> c66(ACTIVE(U52(active(U61(mark(z0))), x1, x2)), U52'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U52(0, x1, x2)) -> c66(ACTIVE(U52(active(0), x1, x2)), U52'(mark(0), x1, x2), MARK(0)) MARK(U52(U71(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U71(mark(z0), z1, z2)), x1, x2)), U52'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U52(U72(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U72(mark(z0), z1, z2)), x1, x2)), U52'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U52(x(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(x(mark(z0), mark(z1))), x1, x2)), U52'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U52(x0, x1, x2)) -> c66(U52'(mark(x0), x1, x2)) MARK(s(z0)) -> c67(ACTIVE(s(z0)), S(mark(z0)), MARK(z0)) MARK(s(U11(z0, z1))) -> c67(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(s(tt)) -> c67(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt)) MARK(s(U12(z0))) -> c67(ACTIVE(s(active(U12(mark(z0))))), S(mark(U12(z0))), MARK(U12(z0))) MARK(s(isNat(z0))) -> c67(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0))) MARK(s(U21(z0))) -> c67(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0))) MARK(s(U31(z0, z1))) -> c67(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(s(U32(z0))) -> c67(ACTIVE(s(active(U32(mark(z0))))), S(mark(U32(z0))), MARK(U32(z0))) MARK(s(U41(z0, z1))) -> c67(ACTIVE(s(active(U41(mark(z0), z1)))), S(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(s(U51(z0, z1, z2))) -> c67(ACTIVE(s(active(U51(mark(z0), z1, z2)))), S(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(s(U52(z0, z1, z2))) -> c67(ACTIVE(s(active(U52(mark(z0), z1, z2)))), S(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(s(s(z0))) -> c67(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(plus(z0, z1))) -> c67(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(s(U61(z0))) -> c67(ACTIVE(s(active(U61(mark(z0))))), S(mark(U61(z0))), MARK(U61(z0))) MARK(s(0)) -> c67(ACTIVE(s(active(0))), S(mark(0)), MARK(0)) MARK(s(U71(z0, z1, z2))) -> c67(ACTIVE(s(active(U71(mark(z0), z1, z2)))), S(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(s(U72(z0, z1, z2))) -> c67(ACTIVE(s(active(U72(mark(z0), z1, z2)))), S(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(s(x(z0, z1))) -> c67(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1))) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) MARK(U32(z0)) -> c63(ACTIVE(U32(z0)), U32'(mark(z0)), MARK(z0)) MARK(U32(U11(z0, z1))) -> c63(ACTIVE(U32(active(U11(mark(z0), z1)))), U32'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U32(tt)) -> c63(ACTIVE(U32(active(tt))), U32'(mark(tt)), MARK(tt)) MARK(U32(U12(z0))) -> c63(ACTIVE(U32(active(U12(mark(z0))))), U32'(mark(U12(z0))), MARK(U12(z0))) MARK(U32(isNat(z0))) -> c63(ACTIVE(U32(active(isNat(z0)))), U32'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U32(U21(z0))) -> c63(ACTIVE(U32(active(U21(mark(z0))))), U32'(mark(U21(z0))), MARK(U21(z0))) MARK(U32(U31(z0, z1))) -> c63(ACTIVE(U32(active(U31(mark(z0), z1)))), U32'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U32(U32(z0))) -> c63(ACTIVE(U32(active(U32(mark(z0))))), U32'(mark(U32(z0))), MARK(U32(z0))) MARK(U32(U41(z0, z1))) -> c63(ACTIVE(U32(active(U41(mark(z0), z1)))), U32'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U32(U51(z0, z1, z2))) -> c63(ACTIVE(U32(active(U51(mark(z0), z1, z2)))), U32'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U32(U52(z0, z1, z2))) -> c63(ACTIVE(U32(active(U52(mark(z0), z1, z2)))), U32'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U32(s(z0))) -> c63(ACTIVE(U32(active(s(mark(z0))))), U32'(mark(s(z0))), MARK(s(z0))) MARK(U32(plus(z0, z1))) -> c63(ACTIVE(U32(active(plus(mark(z0), mark(z1))))), U32'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U32(U61(z0))) -> c63(ACTIVE(U32(active(U61(mark(z0))))), U32'(mark(U61(z0))), MARK(U61(z0))) MARK(U32(0)) -> c63(ACTIVE(U32(active(0))), U32'(mark(0)), MARK(0)) MARK(U32(U71(z0, z1, z2))) -> c63(ACTIVE(U32(active(U71(mark(z0), z1, z2)))), U32'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U32(U72(z0, z1, z2))) -> c63(ACTIVE(U32(active(U72(mark(z0), z1, z2)))), U32'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U32(x(z0, z1))) -> c63(ACTIVE(U32(active(x(mark(z0), mark(z1))))), U32'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(z0, z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U41(U11(z0, z1), x1)) -> c64(ACTIVE(U41(active(U11(mark(z0), z1)), x1)), U41'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U41(tt, x1)) -> c64(ACTIVE(U41(active(tt), x1)), U41'(mark(tt), x1), MARK(tt)) MARK(U41(U12(z0), x1)) -> c64(ACTIVE(U41(active(U12(mark(z0))), x1)), U41'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U41(isNat(z0), x1)) -> c64(ACTIVE(U41(active(isNat(z0)), x1)), U41'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U41(U21(z0), x1)) -> c64(ACTIVE(U41(active(U21(mark(z0))), x1)), U41'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U41(U31(z0, z1), x1)) -> c64(ACTIVE(U41(active(U31(mark(z0), z1)), x1)), U41'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U41(U32(z0), x1)) -> c64(ACTIVE(U41(active(U32(mark(z0))), x1)), U41'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U41(U41(z0, z1), x1)) -> c64(ACTIVE(U41(active(U41(mark(z0), z1)), x1)), U41'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U41(U51(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U51(mark(z0), z1, z2)), x1)), U41'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U41(U52(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U52(mark(z0), z1, z2)), x1)), U41'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U41(s(z0), x1)) -> c64(ACTIVE(U41(active(s(mark(z0))), x1)), U41'(mark(s(z0)), x1), MARK(s(z0))) MARK(U41(plus(z0, z1), x1)) -> c64(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1)), U41'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U41(U61(z0), x1)) -> c64(ACTIVE(U41(active(U61(mark(z0))), x1)), U41'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U41(0, x1)) -> c64(ACTIVE(U41(active(0), x1)), U41'(mark(0), x1), MARK(0)) MARK(U41(U71(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U71(mark(z0), z1, z2)), x1)), U41'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U41(U72(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U72(mark(z0), z1, z2)), x1)), U41'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U41(x(z0, z1), x1)) -> c64(ACTIVE(U41(active(x(mark(z0), mark(z1))), x1)), U41'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U41(x0, x1)) -> c64(U41'(mark(x0), x1)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(z0, z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U51(U11(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U11(mark(z0), z1)), x1, x2)), U51'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U51(tt, x1, x2)) -> c65(ACTIVE(U51(active(tt), x1, x2)), U51'(mark(tt), x1, x2), MARK(tt)) MARK(U51(U12(z0), x1, x2)) -> c65(ACTIVE(U51(active(U12(mark(z0))), x1, x2)), U51'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U51(isNat(z0), x1, x2)) -> c65(ACTIVE(U51(active(isNat(z0)), x1, x2)), U51'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U51(U21(z0), x1, x2)) -> c65(ACTIVE(U51(active(U21(mark(z0))), x1, x2)), U51'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U51(U31(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U31(mark(z0), z1)), x1, x2)), U51'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U51(U32(z0), x1, x2)) -> c65(ACTIVE(U51(active(U32(mark(z0))), x1, x2)), U51'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U51(U41(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U41(mark(z0), z1)), x1, x2)), U51'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U51(U51(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U51(mark(z0), z1, z2)), x1, x2)), U51'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U51(U52(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U52(mark(z0), z1, z2)), x1, x2)), U51'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U51(s(z0), x1, x2)) -> c65(ACTIVE(U51(active(s(mark(z0))), x1, x2)), U51'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U51(plus(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(plus(mark(z0), mark(z1))), x1, x2)), U51'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U51(U61(z0), x1, x2)) -> c65(ACTIVE(U51(active(U61(mark(z0))), x1, x2)), U51'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U51(0, x1, x2)) -> c65(ACTIVE(U51(active(0), x1, x2)), U51'(mark(0), x1, x2), MARK(0)) MARK(U51(U71(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U71(mark(z0), z1, z2)), x1, x2)), U51'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U51(U72(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U72(mark(z0), z1, z2)), x1, x2)), U51'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U51(x(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(x(mark(z0), mark(z1))), x1, x2)), U51'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U51(x0, x1, x2)) -> c65(U51'(mark(x0), x1, x2)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(z0, z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(U52(U11(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U11(mark(z0), z1)), x1, x2)), U52'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U52(tt, x1, x2)) -> c66(ACTIVE(U52(active(tt), x1, x2)), U52'(mark(tt), x1, x2), MARK(tt)) MARK(U52(U12(z0), x1, x2)) -> c66(ACTIVE(U52(active(U12(mark(z0))), x1, x2)), U52'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U52(isNat(z0), x1, x2)) -> c66(ACTIVE(U52(active(isNat(z0)), x1, x2)), U52'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U52(U21(z0), x1, x2)) -> c66(ACTIVE(U52(active(U21(mark(z0))), x1, x2)), U52'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U52(U31(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U31(mark(z0), z1)), x1, x2)), U52'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U52(U32(z0), x1, x2)) -> c66(ACTIVE(U52(active(U32(mark(z0))), x1, x2)), U52'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U52(U41(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U41(mark(z0), z1)), x1, x2)), U52'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U52(U51(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U51(mark(z0), z1, z2)), x1, x2)), U52'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U52(U52(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U52(mark(z0), z1, z2)), x1, x2)), U52'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U52(s(z0), x1, x2)) -> c66(ACTIVE(U52(active(s(mark(z0))), x1, x2)), U52'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U52(plus(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(plus(mark(z0), mark(z1))), x1, x2)), U52'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U52(U61(z0), x1, x2)) -> c66(ACTIVE(U52(active(U61(mark(z0))), x1, x2)), U52'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U52(0, x1, x2)) -> c66(ACTIVE(U52(active(0), x1, x2)), U52'(mark(0), x1, x2), MARK(0)) MARK(U52(U71(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U71(mark(z0), z1, z2)), x1, x2)), U52'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U52(U72(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U72(mark(z0), z1, z2)), x1, x2)), U52'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U52(x(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(x(mark(z0), mark(z1))), x1, x2)), U52'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U52(x0, x1, x2)) -> c66(U52'(mark(x0), x1, x2)) MARK(s(z0)) -> c67(ACTIVE(s(z0)), S(mark(z0)), MARK(z0)) MARK(s(U11(z0, z1))) -> c67(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(s(tt)) -> c67(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt)) MARK(s(U12(z0))) -> c67(ACTIVE(s(active(U12(mark(z0))))), S(mark(U12(z0))), MARK(U12(z0))) MARK(s(isNat(z0))) -> c67(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0))) MARK(s(U21(z0))) -> c67(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0))) MARK(s(U31(z0, z1))) -> c67(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(s(U32(z0))) -> c67(ACTIVE(s(active(U32(mark(z0))))), S(mark(U32(z0))), MARK(U32(z0))) MARK(s(U41(z0, z1))) -> c67(ACTIVE(s(active(U41(mark(z0), z1)))), S(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(s(U51(z0, z1, z2))) -> c67(ACTIVE(s(active(U51(mark(z0), z1, z2)))), S(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(s(U52(z0, z1, z2))) -> c67(ACTIVE(s(active(U52(mark(z0), z1, z2)))), S(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(s(s(z0))) -> c67(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(plus(z0, z1))) -> c67(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(s(U61(z0))) -> c67(ACTIVE(s(active(U61(mark(z0))))), S(mark(U61(z0))), MARK(U61(z0))) MARK(s(0)) -> c67(ACTIVE(s(active(0))), S(mark(0)), MARK(0)) MARK(s(U71(z0, z1, z2))) -> c67(ACTIVE(s(active(U71(mark(z0), z1, z2)))), S(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(s(U72(z0, z1, z2))) -> c67(ACTIVE(s(active(U72(mark(z0), z1, z2)))), S(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(s(x(z0, z1))) -> c67(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ENCARG_1 Compound Symbols: c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c60_2, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3, c17_4, c17_3, c18_3, c18_2, c57_3, c57_1, c59_3, c61_3, c62_3, c62_1, c63_3, c64_3, c64_1, c65_3, c65_1, c66_3, c66_1, c67_3 ---------------------------------------- (125) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (126) Obligation: Complexity Dependency Tuples Problem Rules: encArg(tt) -> tt encArg(0) -> 0 encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c18(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c18(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1))) -> c18(X(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_x(x0, cons_U12(z0))) -> c18(X(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c18(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U21(z0))) -> c18(X(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1))) -> c18(X(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_x(x0, cons_U32(z0))) -> c18(X(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c18(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c18(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_U52(z0, z1, z2))) -> c18(X(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c18(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c18(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c18(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c18(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_U72(z0, z1, z2))) -> c18(X(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c18(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(cons_active(z0), x1)) -> c18(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c18(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1), x1)) -> c18(X(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0), x1)) -> c18(X(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c18(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0), x1)) -> c18(X(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1), x1)) -> c18(X(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0), x1)) -> c18(X(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c18(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c18(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U52(z0, z1, z2), x1)) -> c18(X(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c18(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c18(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c18(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c18(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U72(z0, z1, z2), x1)) -> c18(X(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c18(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c18(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c18(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c18(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c18(X(0, encArg(x1)), ENCARG(x1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) MARK(U32(z0)) -> c63(ACTIVE(U32(z0)), U32'(mark(z0)), MARK(z0)) MARK(U32(U11(z0, z1))) -> c63(ACTIVE(U32(active(U11(mark(z0), z1)))), U32'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U32(tt)) -> c63(ACTIVE(U32(active(tt))), U32'(mark(tt)), MARK(tt)) MARK(U32(U12(z0))) -> c63(ACTIVE(U32(active(U12(mark(z0))))), U32'(mark(U12(z0))), MARK(U12(z0))) MARK(U32(isNat(z0))) -> c63(ACTIVE(U32(active(isNat(z0)))), U32'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U32(U21(z0))) -> c63(ACTIVE(U32(active(U21(mark(z0))))), U32'(mark(U21(z0))), MARK(U21(z0))) MARK(U32(U31(z0, z1))) -> c63(ACTIVE(U32(active(U31(mark(z0), z1)))), U32'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U32(U32(z0))) -> c63(ACTIVE(U32(active(U32(mark(z0))))), U32'(mark(U32(z0))), MARK(U32(z0))) MARK(U32(U41(z0, z1))) -> c63(ACTIVE(U32(active(U41(mark(z0), z1)))), U32'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U32(U51(z0, z1, z2))) -> c63(ACTIVE(U32(active(U51(mark(z0), z1, z2)))), U32'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U32(U52(z0, z1, z2))) -> c63(ACTIVE(U32(active(U52(mark(z0), z1, z2)))), U32'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U32(s(z0))) -> c63(ACTIVE(U32(active(s(mark(z0))))), U32'(mark(s(z0))), MARK(s(z0))) MARK(U32(plus(z0, z1))) -> c63(ACTIVE(U32(active(plus(mark(z0), mark(z1))))), U32'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U32(U61(z0))) -> c63(ACTIVE(U32(active(U61(mark(z0))))), U32'(mark(U61(z0))), MARK(U61(z0))) MARK(U32(0)) -> c63(ACTIVE(U32(active(0))), U32'(mark(0)), MARK(0)) MARK(U32(U71(z0, z1, z2))) -> c63(ACTIVE(U32(active(U71(mark(z0), z1, z2)))), U32'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U32(U72(z0, z1, z2))) -> c63(ACTIVE(U32(active(U72(mark(z0), z1, z2)))), U32'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U32(x(z0, z1))) -> c63(ACTIVE(U32(active(x(mark(z0), mark(z1))))), U32'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(z0, z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U41(U11(z0, z1), x1)) -> c64(ACTIVE(U41(active(U11(mark(z0), z1)), x1)), U41'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U41(tt, x1)) -> c64(ACTIVE(U41(active(tt), x1)), U41'(mark(tt), x1), MARK(tt)) MARK(U41(U12(z0), x1)) -> c64(ACTIVE(U41(active(U12(mark(z0))), x1)), U41'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U41(isNat(z0), x1)) -> c64(ACTIVE(U41(active(isNat(z0)), x1)), U41'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U41(U21(z0), x1)) -> c64(ACTIVE(U41(active(U21(mark(z0))), x1)), U41'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U41(U31(z0, z1), x1)) -> c64(ACTIVE(U41(active(U31(mark(z0), z1)), x1)), U41'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U41(U32(z0), x1)) -> c64(ACTIVE(U41(active(U32(mark(z0))), x1)), U41'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U41(U41(z0, z1), x1)) -> c64(ACTIVE(U41(active(U41(mark(z0), z1)), x1)), U41'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U41(U51(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U51(mark(z0), z1, z2)), x1)), U41'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U41(U52(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U52(mark(z0), z1, z2)), x1)), U41'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U41(s(z0), x1)) -> c64(ACTIVE(U41(active(s(mark(z0))), x1)), U41'(mark(s(z0)), x1), MARK(s(z0))) MARK(U41(plus(z0, z1), x1)) -> c64(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1)), U41'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U41(U61(z0), x1)) -> c64(ACTIVE(U41(active(U61(mark(z0))), x1)), U41'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U41(0, x1)) -> c64(ACTIVE(U41(active(0), x1)), U41'(mark(0), x1), MARK(0)) MARK(U41(U71(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U71(mark(z0), z1, z2)), x1)), U41'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U41(U72(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U72(mark(z0), z1, z2)), x1)), U41'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U41(x(z0, z1), x1)) -> c64(ACTIVE(U41(active(x(mark(z0), mark(z1))), x1)), U41'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U41(x0, x1)) -> c64(U41'(mark(x0), x1)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(z0, z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U51(U11(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U11(mark(z0), z1)), x1, x2)), U51'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U51(tt, x1, x2)) -> c65(ACTIVE(U51(active(tt), x1, x2)), U51'(mark(tt), x1, x2), MARK(tt)) MARK(U51(U12(z0), x1, x2)) -> c65(ACTIVE(U51(active(U12(mark(z0))), x1, x2)), U51'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U51(isNat(z0), x1, x2)) -> c65(ACTIVE(U51(active(isNat(z0)), x1, x2)), U51'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U51(U21(z0), x1, x2)) -> c65(ACTIVE(U51(active(U21(mark(z0))), x1, x2)), U51'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U51(U31(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U31(mark(z0), z1)), x1, x2)), U51'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U51(U32(z0), x1, x2)) -> c65(ACTIVE(U51(active(U32(mark(z0))), x1, x2)), U51'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U51(U41(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U41(mark(z0), z1)), x1, x2)), U51'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U51(U51(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U51(mark(z0), z1, z2)), x1, x2)), U51'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U51(U52(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U52(mark(z0), z1, z2)), x1, x2)), U51'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U51(s(z0), x1, x2)) -> c65(ACTIVE(U51(active(s(mark(z0))), x1, x2)), U51'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U51(plus(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(plus(mark(z0), mark(z1))), x1, x2)), U51'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U51(U61(z0), x1, x2)) -> c65(ACTIVE(U51(active(U61(mark(z0))), x1, x2)), U51'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U51(0, x1, x2)) -> c65(ACTIVE(U51(active(0), x1, x2)), U51'(mark(0), x1, x2), MARK(0)) MARK(U51(U71(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U71(mark(z0), z1, z2)), x1, x2)), U51'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U51(U72(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U72(mark(z0), z1, z2)), x1, x2)), U51'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U51(x(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(x(mark(z0), mark(z1))), x1, x2)), U51'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U51(x0, x1, x2)) -> c65(U51'(mark(x0), x1, x2)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(z0, z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(U52(U11(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U11(mark(z0), z1)), x1, x2)), U52'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U52(tt, x1, x2)) -> c66(ACTIVE(U52(active(tt), x1, x2)), U52'(mark(tt), x1, x2), MARK(tt)) MARK(U52(U12(z0), x1, x2)) -> c66(ACTIVE(U52(active(U12(mark(z0))), x1, x2)), U52'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U52(isNat(z0), x1, x2)) -> c66(ACTIVE(U52(active(isNat(z0)), x1, x2)), U52'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U52(U21(z0), x1, x2)) -> c66(ACTIVE(U52(active(U21(mark(z0))), x1, x2)), U52'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U52(U31(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U31(mark(z0), z1)), x1, x2)), U52'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U52(U32(z0), x1, x2)) -> c66(ACTIVE(U52(active(U32(mark(z0))), x1, x2)), U52'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U52(U41(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U41(mark(z0), z1)), x1, x2)), U52'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U52(U51(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U51(mark(z0), z1, z2)), x1, x2)), U52'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U52(U52(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U52(mark(z0), z1, z2)), x1, x2)), U52'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U52(s(z0), x1, x2)) -> c66(ACTIVE(U52(active(s(mark(z0))), x1, x2)), U52'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U52(plus(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(plus(mark(z0), mark(z1))), x1, x2)), U52'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U52(U61(z0), x1, x2)) -> c66(ACTIVE(U52(active(U61(mark(z0))), x1, x2)), U52'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U52(0, x1, x2)) -> c66(ACTIVE(U52(active(0), x1, x2)), U52'(mark(0), x1, x2), MARK(0)) MARK(U52(U71(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U71(mark(z0), z1, z2)), x1, x2)), U52'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U52(U72(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U72(mark(z0), z1, z2)), x1, x2)), U52'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U52(x(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(x(mark(z0), mark(z1))), x1, x2)), U52'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U52(x0, x1, x2)) -> c66(U52'(mark(x0), x1, x2)) MARK(s(U11(z0, z1))) -> c67(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(s(tt)) -> c67(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt)) MARK(s(U12(z0))) -> c67(ACTIVE(s(active(U12(mark(z0))))), S(mark(U12(z0))), MARK(U12(z0))) MARK(s(isNat(z0))) -> c67(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0))) MARK(s(U21(z0))) -> c67(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0))) MARK(s(U31(z0, z1))) -> c67(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(s(U32(z0))) -> c67(ACTIVE(s(active(U32(mark(z0))))), S(mark(U32(z0))), MARK(U32(z0))) MARK(s(U41(z0, z1))) -> c67(ACTIVE(s(active(U41(mark(z0), z1)))), S(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(s(U51(z0, z1, z2))) -> c67(ACTIVE(s(active(U51(mark(z0), z1, z2)))), S(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(s(U52(z0, z1, z2))) -> c67(ACTIVE(s(active(U52(mark(z0), z1, z2)))), S(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(s(s(z0))) -> c67(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(plus(z0, z1))) -> c67(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(s(U61(z0))) -> c67(ACTIVE(s(active(U61(mark(z0))))), S(mark(U61(z0))), MARK(U61(z0))) MARK(s(0)) -> c67(ACTIVE(s(active(0))), S(mark(0)), MARK(0)) MARK(s(U71(z0, z1, z2))) -> c67(ACTIVE(s(active(U71(mark(z0), z1, z2)))), S(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(s(U72(z0, z1, z2))) -> c67(ACTIVE(s(active(U72(mark(z0), z1, z2)))), S(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(s(x(z0, z1))) -> c67(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(s(z0)) -> c67(S(mark(z0)), MARK(z0)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) MARK(U32(z0)) -> c63(ACTIVE(U32(z0)), U32'(mark(z0)), MARK(z0)) MARK(U32(U11(z0, z1))) -> c63(ACTIVE(U32(active(U11(mark(z0), z1)))), U32'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U32(tt)) -> c63(ACTIVE(U32(active(tt))), U32'(mark(tt)), MARK(tt)) MARK(U32(U12(z0))) -> c63(ACTIVE(U32(active(U12(mark(z0))))), U32'(mark(U12(z0))), MARK(U12(z0))) MARK(U32(isNat(z0))) -> c63(ACTIVE(U32(active(isNat(z0)))), U32'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U32(U21(z0))) -> c63(ACTIVE(U32(active(U21(mark(z0))))), U32'(mark(U21(z0))), MARK(U21(z0))) MARK(U32(U31(z0, z1))) -> c63(ACTIVE(U32(active(U31(mark(z0), z1)))), U32'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U32(U32(z0))) -> c63(ACTIVE(U32(active(U32(mark(z0))))), U32'(mark(U32(z0))), MARK(U32(z0))) MARK(U32(U41(z0, z1))) -> c63(ACTIVE(U32(active(U41(mark(z0), z1)))), U32'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U32(U51(z0, z1, z2))) -> c63(ACTIVE(U32(active(U51(mark(z0), z1, z2)))), U32'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U32(U52(z0, z1, z2))) -> c63(ACTIVE(U32(active(U52(mark(z0), z1, z2)))), U32'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U32(s(z0))) -> c63(ACTIVE(U32(active(s(mark(z0))))), U32'(mark(s(z0))), MARK(s(z0))) MARK(U32(plus(z0, z1))) -> c63(ACTIVE(U32(active(plus(mark(z0), mark(z1))))), U32'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U32(U61(z0))) -> c63(ACTIVE(U32(active(U61(mark(z0))))), U32'(mark(U61(z0))), MARK(U61(z0))) MARK(U32(0)) -> c63(ACTIVE(U32(active(0))), U32'(mark(0)), MARK(0)) MARK(U32(U71(z0, z1, z2))) -> c63(ACTIVE(U32(active(U71(mark(z0), z1, z2)))), U32'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U32(U72(z0, z1, z2))) -> c63(ACTIVE(U32(active(U72(mark(z0), z1, z2)))), U32'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U32(x(z0, z1))) -> c63(ACTIVE(U32(active(x(mark(z0), mark(z1))))), U32'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(z0, z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U41(U11(z0, z1), x1)) -> c64(ACTIVE(U41(active(U11(mark(z0), z1)), x1)), U41'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U41(tt, x1)) -> c64(ACTIVE(U41(active(tt), x1)), U41'(mark(tt), x1), MARK(tt)) MARK(U41(U12(z0), x1)) -> c64(ACTIVE(U41(active(U12(mark(z0))), x1)), U41'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U41(isNat(z0), x1)) -> c64(ACTIVE(U41(active(isNat(z0)), x1)), U41'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U41(U21(z0), x1)) -> c64(ACTIVE(U41(active(U21(mark(z0))), x1)), U41'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U41(U31(z0, z1), x1)) -> c64(ACTIVE(U41(active(U31(mark(z0), z1)), x1)), U41'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U41(U32(z0), x1)) -> c64(ACTIVE(U41(active(U32(mark(z0))), x1)), U41'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U41(U41(z0, z1), x1)) -> c64(ACTIVE(U41(active(U41(mark(z0), z1)), x1)), U41'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U41(U51(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U51(mark(z0), z1, z2)), x1)), U41'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U41(U52(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U52(mark(z0), z1, z2)), x1)), U41'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U41(s(z0), x1)) -> c64(ACTIVE(U41(active(s(mark(z0))), x1)), U41'(mark(s(z0)), x1), MARK(s(z0))) MARK(U41(plus(z0, z1), x1)) -> c64(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1)), U41'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U41(U61(z0), x1)) -> c64(ACTIVE(U41(active(U61(mark(z0))), x1)), U41'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U41(0, x1)) -> c64(ACTIVE(U41(active(0), x1)), U41'(mark(0), x1), MARK(0)) MARK(U41(U71(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U71(mark(z0), z1, z2)), x1)), U41'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U41(U72(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U72(mark(z0), z1, z2)), x1)), U41'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U41(x(z0, z1), x1)) -> c64(ACTIVE(U41(active(x(mark(z0), mark(z1))), x1)), U41'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U41(x0, x1)) -> c64(U41'(mark(x0), x1)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(z0, z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U51(U11(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U11(mark(z0), z1)), x1, x2)), U51'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U51(tt, x1, x2)) -> c65(ACTIVE(U51(active(tt), x1, x2)), U51'(mark(tt), x1, x2), MARK(tt)) MARK(U51(U12(z0), x1, x2)) -> c65(ACTIVE(U51(active(U12(mark(z0))), x1, x2)), U51'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U51(isNat(z0), x1, x2)) -> c65(ACTIVE(U51(active(isNat(z0)), x1, x2)), U51'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U51(U21(z0), x1, x2)) -> c65(ACTIVE(U51(active(U21(mark(z0))), x1, x2)), U51'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U51(U31(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U31(mark(z0), z1)), x1, x2)), U51'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U51(U32(z0), x1, x2)) -> c65(ACTIVE(U51(active(U32(mark(z0))), x1, x2)), U51'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U51(U41(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U41(mark(z0), z1)), x1, x2)), U51'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U51(U51(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U51(mark(z0), z1, z2)), x1, x2)), U51'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U51(U52(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U52(mark(z0), z1, z2)), x1, x2)), U51'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U51(s(z0), x1, x2)) -> c65(ACTIVE(U51(active(s(mark(z0))), x1, x2)), U51'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U51(plus(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(plus(mark(z0), mark(z1))), x1, x2)), U51'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U51(U61(z0), x1, x2)) -> c65(ACTIVE(U51(active(U61(mark(z0))), x1, x2)), U51'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U51(0, x1, x2)) -> c65(ACTIVE(U51(active(0), x1, x2)), U51'(mark(0), x1, x2), MARK(0)) MARK(U51(U71(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U71(mark(z0), z1, z2)), x1, x2)), U51'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U51(U72(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U72(mark(z0), z1, z2)), x1, x2)), U51'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U51(x(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(x(mark(z0), mark(z1))), x1, x2)), U51'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U51(x0, x1, x2)) -> c65(U51'(mark(x0), x1, x2)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(z0, z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(U52(U11(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U11(mark(z0), z1)), x1, x2)), U52'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U52(tt, x1, x2)) -> c66(ACTIVE(U52(active(tt), x1, x2)), U52'(mark(tt), x1, x2), MARK(tt)) MARK(U52(U12(z0), x1, x2)) -> c66(ACTIVE(U52(active(U12(mark(z0))), x1, x2)), U52'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U52(isNat(z0), x1, x2)) -> c66(ACTIVE(U52(active(isNat(z0)), x1, x2)), U52'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U52(U21(z0), x1, x2)) -> c66(ACTIVE(U52(active(U21(mark(z0))), x1, x2)), U52'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U52(U31(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U31(mark(z0), z1)), x1, x2)), U52'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U52(U32(z0), x1, x2)) -> c66(ACTIVE(U52(active(U32(mark(z0))), x1, x2)), U52'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U52(U41(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U41(mark(z0), z1)), x1, x2)), U52'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U52(U51(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U51(mark(z0), z1, z2)), x1, x2)), U52'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U52(U52(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U52(mark(z0), z1, z2)), x1, x2)), U52'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U52(s(z0), x1, x2)) -> c66(ACTIVE(U52(active(s(mark(z0))), x1, x2)), U52'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U52(plus(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(plus(mark(z0), mark(z1))), x1, x2)), U52'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U52(U61(z0), x1, x2)) -> c66(ACTIVE(U52(active(U61(mark(z0))), x1, x2)), U52'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U52(0, x1, x2)) -> c66(ACTIVE(U52(active(0), x1, x2)), U52'(mark(0), x1, x2), MARK(0)) MARK(U52(U71(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U71(mark(z0), z1, z2)), x1, x2)), U52'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U52(U72(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U72(mark(z0), z1, z2)), x1, x2)), U52'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U52(x(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(x(mark(z0), mark(z1))), x1, x2)), U52'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U52(x0, x1, x2)) -> c66(U52'(mark(x0), x1, x2)) MARK(s(U11(z0, z1))) -> c67(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(s(tt)) -> c67(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt)) MARK(s(U12(z0))) -> c67(ACTIVE(s(active(U12(mark(z0))))), S(mark(U12(z0))), MARK(U12(z0))) MARK(s(isNat(z0))) -> c67(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0))) MARK(s(U21(z0))) -> c67(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0))) MARK(s(U31(z0, z1))) -> c67(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(s(U32(z0))) -> c67(ACTIVE(s(active(U32(mark(z0))))), S(mark(U32(z0))), MARK(U32(z0))) MARK(s(U41(z0, z1))) -> c67(ACTIVE(s(active(U41(mark(z0), z1)))), S(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(s(U51(z0, z1, z2))) -> c67(ACTIVE(s(active(U51(mark(z0), z1, z2)))), S(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(s(U52(z0, z1, z2))) -> c67(ACTIVE(s(active(U52(mark(z0), z1, z2)))), S(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(s(s(z0))) -> c67(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(plus(z0, z1))) -> c67(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(s(U61(z0))) -> c67(ACTIVE(s(active(U61(mark(z0))))), S(mark(U61(z0))), MARK(U61(z0))) MARK(s(0)) -> c67(ACTIVE(s(active(0))), S(mark(0)), MARK(0)) MARK(s(U71(z0, z1, z2))) -> c67(ACTIVE(s(active(U71(mark(z0), z1, z2)))), S(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(s(U72(z0, z1, z2))) -> c67(ACTIVE(s(active(U72(mark(z0), z1, z2)))), S(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(s(x(z0, z1))) -> c67(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(s(z0)) -> c67(S(mark(z0)), MARK(z0)) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ENCARG_1 Compound Symbols: c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c60_2, c68_4, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3, c17_4, c17_3, c18_3, c18_2, c57_3, c57_1, c59_3, c61_3, c62_3, c62_1, c63_3, c64_3, c64_1, c65_3, c65_1, c66_3, c66_1, c67_3, c67_2 ---------------------------------------- (127) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(plus(z0, z1)) -> c68(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) by MARK(plus(z0, x1)) -> c68(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(plus(x0, z1)) -> c68(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(plus(x0, U11(z0, z1))) -> c68(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1)))), PLUS(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(z0, z1))) MARK(plus(x0, tt)) -> c68(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt)) MARK(plus(x0, U12(z0))) -> c68(ACTIVE(plus(mark(x0), active(U12(mark(z0))))), PLUS(mark(x0), mark(U12(z0))), MARK(x0), MARK(U12(z0))) MARK(plus(x0, isNat(z0))) -> c68(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0))) MARK(plus(x0, U21(z0))) -> c68(ACTIVE(plus(mark(x0), active(U21(mark(z0))))), PLUS(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0))) MARK(plus(x0, U31(z0, z1))) -> c68(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1))) MARK(plus(x0, U32(z0))) -> c68(ACTIVE(plus(mark(x0), active(U32(mark(z0))))), PLUS(mark(x0), mark(U32(z0))), MARK(x0), MARK(U32(z0))) MARK(plus(x0, U41(z0, z1))) -> c68(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1)))), PLUS(mark(x0), mark(U41(z0, z1))), MARK(x0), MARK(U41(z0, z1))) MARK(plus(x0, U51(z0, z1, z2))) -> c68(ACTIVE(plus(mark(x0), active(U51(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U51(z0, z1, z2))), MARK(x0), MARK(U51(z0, z1, z2))) MARK(plus(x0, U52(z0, z1, z2))) -> c68(ACTIVE(plus(mark(x0), active(U52(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U52(z0, z1, z2))), MARK(x0), MARK(U52(z0, z1, z2))) MARK(plus(x0, s(z0))) -> c68(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(plus(x0, plus(z0, z1))) -> c68(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1))) MARK(plus(x0, U61(z0))) -> c68(ACTIVE(plus(mark(x0), active(U61(mark(z0))))), PLUS(mark(x0), mark(U61(z0))), MARK(x0), MARK(U61(z0))) MARK(plus(x0, 0)) -> c68(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0)) MARK(plus(x0, U71(z0, z1, z2))) -> c68(ACTIVE(plus(mark(x0), active(U71(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U71(z0, z1, z2))), MARK(x0), MARK(U71(z0, z1, z2))) MARK(plus(x0, U72(z0, z1, z2))) -> c68(ACTIVE(plus(mark(x0), active(U72(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U72(z0, z1, z2))), MARK(x0), MARK(U72(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c68(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1))) MARK(plus(U11(z0, z1), x1)) -> c68(ACTIVE(plus(active(U11(mark(z0), z1)), mark(x1))), PLUS(mark(U11(z0, z1)), mark(x1)), MARK(U11(z0, z1)), MARK(x1)) MARK(plus(tt, x1)) -> c68(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1)) MARK(plus(U12(z0), x1)) -> c68(ACTIVE(plus(active(U12(mark(z0))), mark(x1))), PLUS(mark(U12(z0)), mark(x1)), MARK(U12(z0)), MARK(x1)) MARK(plus(isNat(z0), x1)) -> c68(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1)) MARK(plus(U21(z0), x1)) -> c68(ACTIVE(plus(active(U21(mark(z0))), mark(x1))), PLUS(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1)) MARK(plus(U31(z0, z1), x1)) -> c68(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1)) MARK(plus(U32(z0), x1)) -> c68(ACTIVE(plus(active(U32(mark(z0))), mark(x1))), PLUS(mark(U32(z0)), mark(x1)), MARK(U32(z0)), MARK(x1)) MARK(plus(U41(z0, z1), x1)) -> c68(ACTIVE(plus(active(U41(mark(z0), z1)), mark(x1))), PLUS(mark(U41(z0, z1)), mark(x1)), MARK(U41(z0, z1)), MARK(x1)) MARK(plus(U51(z0, z1, z2), x1)) -> c68(ACTIVE(plus(active(U51(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U51(z0, z1, z2)), mark(x1)), MARK(U51(z0, z1, z2)), MARK(x1)) MARK(plus(U52(z0, z1, z2), x1)) -> c68(ACTIVE(plus(active(U52(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U52(z0, z1, z2)), mark(x1)), MARK(U52(z0, z1, z2)), MARK(x1)) MARK(plus(s(z0), x1)) -> c68(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c68(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1)) MARK(plus(U61(z0), x1)) -> c68(ACTIVE(plus(active(U61(mark(z0))), mark(x1))), PLUS(mark(U61(z0)), mark(x1)), MARK(U61(z0)), MARK(x1)) MARK(plus(0, x1)) -> c68(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1)) MARK(plus(U71(z0, z1, z2), x1)) -> c68(ACTIVE(plus(active(U71(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U71(z0, z1, z2)), mark(x1)), MARK(U71(z0, z1, z2)), MARK(x1)) MARK(plus(U72(z0, z1, z2), x1)) -> c68(ACTIVE(plus(active(U72(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U72(z0, z1, z2)), mark(x1)), MARK(U72(z0, z1, z2)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c68(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1)) ---------------------------------------- (128) Obligation: Complexity Dependency Tuples Problem Rules: encArg(tt) -> tt encArg(0) -> 0 encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_U11(z0, z1)) -> U11(encArg(z0), encArg(z1)) encArg(cons_U12(z0)) -> U12(encArg(z0)) encArg(cons_isNat(z0)) -> isNat(encArg(z0)) encArg(cons_U21(z0)) -> U21(encArg(z0)) encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1)) encArg(cons_U32(z0)) -> U32(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_U52(z0, z1, z2)) -> U52(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_U72(z0, z1, z2)) -> U72(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1)) active(U11(tt, z0)) -> mark(U12(isNat(z0))) active(U12(tt)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt, z0)) -> mark(U32(isNat(z0))) active(U32(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(U52(isNat(z1), z0, z1)) active(U52(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(U72(isNat(z1), z0, z1)) active(U72(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) active(isNat(0)) -> mark(tt) active(isNat(plus(z0, z1))) -> mark(U11(isNat(z0), z1)) active(isNat(s(z0))) -> mark(U21(isNat(z0))) active(isNat(x(z0, z1))) -> mark(U31(isNat(z0), z1)) active(plus(z0, 0)) -> mark(U41(isNat(z0), z0)) active(plus(z0, s(z1))) -> mark(U51(isNat(z1), z1, z0)) active(x(z0, 0)) -> mark(U61(isNat(z0))) active(x(z0, s(z1))) -> mark(U71(isNat(z1), z1, z0)) mark(U11(z0, z1)) -> active(U11(mark(z0), z1)) mark(tt) -> active(tt) mark(U12(z0)) -> active(U12(mark(z0))) mark(isNat(z0)) -> active(isNat(z0)) mark(U21(z0)) -> active(U21(mark(z0))) mark(U31(z0, z1)) -> active(U31(mark(z0), z1)) mark(U32(z0)) -> active(U32(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(U52(z0, z1, z2)) -> active(U52(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(U72(z0, z1, z2)) -> active(U72(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) U11(mark(z0), z1) -> U11(z0, z1) U11(z0, mark(z1)) -> U11(z0, z1) U11(active(z0), z1) -> U11(z0, z1) U11(z0, active(z1)) -> U11(z0, z1) U12(mark(z0)) -> U12(z0) U12(active(z0)) -> U12(z0) isNat(mark(z0)) -> isNat(z0) isNat(active(z0)) -> isNat(z0) U21(mark(z0)) -> U21(z0) U21(active(z0)) -> U21(z0) U31(mark(z0), z1) -> U31(z0, z1) U31(z0, mark(z1)) -> U31(z0, z1) U31(active(z0), z1) -> U31(z0, z1) U31(z0, active(z1)) -> U31(z0, z1) U32(mark(z0)) -> U32(z0) U32(active(z0)) -> U32(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) U52(mark(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, mark(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, mark(z2)) -> U52(z0, z1, z2) U52(active(z0), z1, z2) -> U52(z0, z1, z2) U52(z0, active(z1), z2) -> U52(z0, z1, z2) U52(z0, z1, active(z2)) -> U52(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) U72(mark(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, mark(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, mark(z2)) -> U72(z0, z1, z2) U72(active(z0), z1, z2) -> U72(z0, z1, z2) U72(z0, active(z1), z2) -> U72(z0, z1, z2) U72(z0, z1, active(z2)) -> U72(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) Tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_U11(z0, z1) -> c(U11'(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_U12(z0) -> c(U12'(encArg(z0))) ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) ENCODE_U21(z0) -> c(U21'(encArg(z0))) ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1))) ENCODE_U32(z0) -> c(U32'(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_U52(z0, z1, z2) -> c(U52'(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_U72(z0, z1, z2) -> c(U72'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) 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))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_active(cons_U12(z0))) -> c2(ACTIVE(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_active(cons_U21(z0))) -> c2(ACTIVE(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_active(cons_U32(z0))) -> c2(ACTIVE(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c2(ACTIVE(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c2(ACTIVE(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c3(MARK(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_mark(cons_U12(z0))) -> c3(MARK(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_mark(cons_U21(z0))) -> c3(MARK(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_mark(cons_U32(z0))) -> c3(MARK(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c3(MARK(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c3(MARK(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(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(tt)) -> c3(MARK(tt)) ENCARG(cons_mark(0)) -> c3(MARK(0)) ENCARG(cons_U11(x0, cons_active(z0))) -> c4(U11'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U11(x0, cons_mark(z0))) -> c4(U11'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U11(x0, cons_U11(z0, z1))) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U11(x0, cons_U12(z0))) -> c4(U11'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U11(x0, cons_isNat(z0))) -> c4(U11'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U11(x0, cons_U21(z0))) -> c4(U11'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U11(x0, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U11(x0, cons_U32(z0))) -> c4(U11'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U11(x0, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U52(z0, z1, z2))) -> c4(U11'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U11(x0, cons_s(z0))) -> c4(U11'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U11(x0, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U11(x0, cons_U61(z0))) -> c4(U11'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, cons_U72(z0, z1, z2))) -> c4(U11'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U11(x0, cons_x(z0, z1))) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U11(cons_active(z0), x1)) -> c4(U11'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_mark(z0), x1)) -> c4(U11'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U11(z0, z1), x1)) -> c4(U11'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U12(z0), x1)) -> c4(U11'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_isNat(z0), x1)) -> c4(U11'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U21(z0), x1)) -> c4(U11'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U31(z0, z1), x1)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U32(z0), x1)) -> c4(U11'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U41(z0, z1), x1)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U52(z0, z1, z2), x1)) -> c4(U11'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_s(z0), x1)) -> c4(U11'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_plus(z0, z1), x1)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(cons_U61(z0), x1)) -> c4(U11'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_U72(z0, z1, z2), x1)) -> c4(U11'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U11(cons_x(z0, z1), x1)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U11(x0, tt)) -> c4(U11'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U11(x0, 0)) -> c4(U11'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U11(tt, x1)) -> c4(U11'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U11(0, x1)) -> c4(U11'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U12(cons_active(z0))) -> c5(U12'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U12(cons_mark(z0))) -> c5(U12'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U12(cons_U11(z0, z1))) -> c5(U12'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U12(cons_U12(z0))) -> c5(U12'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U12(cons_isNat(z0))) -> c5(U12'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U12(cons_U21(z0))) -> c5(U12'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U12(cons_U31(z0, z1))) -> c5(U12'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U12(cons_U32(z0))) -> c5(U12'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U12(cons_U41(z0, z1))) -> c5(U12'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(cons_U51(z0, z1, z2))) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U12(cons_U52(z0, z1, z2))) -> c5(U12'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U12(cons_s(z0))) -> c5(U12'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U12(cons_plus(z0, z1))) -> c5(U12'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U12(cons_U61(z0))) -> c5(U12'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U12(cons_U71(z0, z1, z2))) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(cons_U72(z0, z1, z2))) -> c5(U12'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U12(cons_x(z0, z1))) -> c5(U12'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) 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))) -> c6(ISNAT(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_isNat(cons_U12(z0))) -> c6(ISNAT(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNat(cons_U21(z0))) -> c6(ISNAT(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_isNat(cons_U32(z0))) -> c6(ISNAT(U32(encArg(z0))), ENCARG(cons_U32(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_U52(z0, z1, z2))) -> c6(ISNAT(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(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_U72(z0, z1, z2))) -> c6(ISNAT(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U21(cons_active(z0))) -> c7(U21'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U21(cons_mark(z0))) -> c7(U21'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U21(cons_U11(z0, z1))) -> c7(U21'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U21(cons_U12(z0))) -> c7(U21'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U21(cons_isNat(z0))) -> c7(U21'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U21(cons_U21(z0))) -> c7(U21'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U21(cons_U31(z0, z1))) -> c7(U21'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U21(cons_U32(z0))) -> c7(U21'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U21(cons_U41(z0, z1))) -> c7(U21'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(cons_U51(z0, z1, z2))) -> c7(U21'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U21(cons_U52(z0, z1, z2))) -> c7(U21'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U21(cons_s(z0))) -> c7(U21'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U21(cons_plus(z0, z1))) -> c7(U21'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U21(cons_U61(z0))) -> c7(U21'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U21(cons_U71(z0, z1, z2))) -> c7(U21'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(cons_U72(z0, z1, z2))) -> c7(U21'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U21(cons_x(z0, z1))) -> c7(U21'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, cons_active(z0))) -> c8(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, cons_mark(z0))) -> c8(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, cons_U11(z0, z1))) -> c8(U31'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U31(x0, cons_U12(z0))) -> c8(U31'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U31(x0, cons_isNat(z0))) -> c8(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, cons_U21(z0))) -> c8(U31'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c8(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U31(x0, cons_U32(z0))) -> c8(U31'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U31(x0, cons_U41(z0, z1))) -> c8(U31'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2))) -> c8(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U52(z0, z1, z2))) -> c8(U31'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U31(x0, cons_s(z0))) -> c8(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c8(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, cons_U61(z0))) -> c8(U31'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2))) -> c8(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, cons_U72(z0, z1, z2))) -> c8(U31'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U31(x0, cons_x(z0, z1))) -> c8(U31'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(cons_active(z0), x1)) -> c8(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_mark(z0), x1)) -> c8(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U11(z0, z1), x1)) -> c8(U31'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U12(z0), x1)) -> c8(U31'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_isNat(z0), x1)) -> c8(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U21(z0), x1)) -> c8(U31'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c8(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U32(z0), x1)) -> c8(U31'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U41(z0, z1), x1)) -> c8(U31'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1)) -> c8(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U52(z0, z1, z2), x1)) -> c8(U31'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_s(z0), x1)) -> c8(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c8(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(cons_U61(z0), x1)) -> c8(U31'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1)) -> c8(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_U72(z0, z1, z2), x1)) -> c8(U31'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U31(cons_x(z0, z1), x1)) -> c8(U31'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U31(x0, tt)) -> c8(U31'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U31(x0, 0)) -> c8(U31'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U31(tt, x1)) -> c8(U31'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U31(0, x1)) -> c8(U31'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0))) -> c9(U32'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U32(cons_mark(z0))) -> c9(U32'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U32(cons_U11(z0, z1))) -> c9(U32'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U32(cons_U12(z0))) -> c9(U32'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U32(cons_isNat(z0))) -> c9(U32'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(cons_U21(z0))) -> c9(U32'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U32(cons_U31(z0, z1))) -> c9(U32'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U32(cons_U32(z0))) -> c9(U32'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U32(cons_U41(z0, z1))) -> c9(U32'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(cons_U51(z0, z1, z2))) -> c9(U32'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(cons_U52(z0, z1, z2))) -> c9(U32'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U32(cons_s(z0))) -> c9(U32'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U32(cons_plus(z0, z1))) -> c9(U32'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(cons_U61(z0))) -> c9(U32'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U32(cons_U71(z0, z1, z2))) -> c9(U32'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(cons_U72(z0, z1, z2))) -> c9(U32'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U32(cons_x(z0, z1))) -> c9(U32'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_active(z0))) -> c10(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c10(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1))) -> c10(U41'(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U41(x0, cons_U12(z0))) -> c10(U41'(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c10(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U21(z0))) -> c10(U41'(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1))) -> c10(U41'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U41(x0, cons_U32(z0))) -> c10(U41'(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c10(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c10(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U52(z0, z1, z2))) -> c10(U41'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c10(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c10(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c10(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c10(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U72(z0, z1, z2))) -> c10(U41'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c10(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(cons_active(z0), x1)) -> c10(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c10(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1), x1)) -> c10(U41'(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0), x1)) -> c10(U41'(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c10(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0), x1)) -> c10(U41'(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1), x1)) -> c10(U41'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0), x1)) -> c10(U41'(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c10(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c10(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U52(z0, z1, z2), x1)) -> c10(U41'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c10(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c10(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c10(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c10(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U72(z0, z1, z2), x1)) -> c10(U41'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c10(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c10(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c10(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c10(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c10(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c11(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c11(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))) -> c11(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U12(z0))) -> c11(U51'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c11(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0))) -> c11(U51'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U32(z0))) -> c11(U51'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c11(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))) -> c11(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_U52(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c11(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))) -> c11(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))) -> c11(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))) -> c11(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_U72(z0, z1, z2))) -> c11(U51'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c11(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c11(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c11(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1), x2)) -> c11(U51'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0), x2)) -> c11(U51'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c11(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0), x2)) -> c11(U51'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1), x2)) -> c11(U51'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0), x2)) -> c11(U51'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x2)) -> c11(U51'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c11(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c11(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c11(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1), x1, x2)) -> c11(U51'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0), x1, x2)) -> c11(U51'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c11(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0), x1, x2)) -> c11(U51'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1), x1, x2)) -> c11(U51'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0), x1, x2)) -> c11(U51'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c11(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)) -> c11(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_U52(z0, z1, z2), x1, x2)) -> c11(U51'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c11(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)) -> c11(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)) -> c11(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)) -> c11(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_U72(z0, z1, z2), x1, x2)) -> c11(U51'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c11(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c11(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c11(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c11(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c11(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c11(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c11(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, cons_active(z0))) -> c12(U52'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U52(x0, x1, cons_mark(z0))) -> c12(U52'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U52(x0, x1, cons_U11(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U12(z0))) -> c12(U52'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U52(x0, x1, cons_isNat(z0))) -> c12(U52'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U52(x0, x1, cons_U21(z0))) -> c12(U52'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U52(x0, x1, cons_U31(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U32(z0))) -> c12(U52'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U52(x0, x1, cons_U41(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U51(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U52(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_s(z0))) -> c12(U52'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U52(x0, x1, cons_plus(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U52(x0, x1, cons_U61(z0))) -> c12(U52'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U52(x0, x1, cons_U71(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_U72(z0, z1, z2))) -> c12(U52'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U52(x0, x1, cons_x(z0, z1))) -> c12(U52'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U52(x0, cons_active(z0), x2)) -> c12(U52'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_mark(z0), x2)) -> c12(U52'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U11(z0, z1), x2)) -> c12(U52'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U12(z0), x2)) -> c12(U52'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_isNat(z0), x2)) -> c12(U52'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U21(z0), x2)) -> c12(U52'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U31(z0, z1), x2)) -> c12(U52'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U32(z0), x2)) -> c12(U52'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U41(z0, z1), x2)) -> c12(U52'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U51(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U52(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_s(z0), x2)) -> c12(U52'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_plus(z0, z1), x2)) -> c12(U52'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U61(z0), x2)) -> c12(U52'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U71(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_U72(z0, z1, z2), x2)) -> c12(U52'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U52(x0, cons_x(z0, z1), x2)) -> c12(U52'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U52(cons_active(z0), x1, x2)) -> c12(U52'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_mark(z0), x1, x2)) -> c12(U52'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U11(z0, z1), x1, x2)) -> c12(U52'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U12(z0), x1, x2)) -> c12(U52'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_isNat(z0), x1, x2)) -> c12(U52'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U21(z0), x1, x2)) -> c12(U52'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U31(z0, z1), x1, x2)) -> c12(U52'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U32(z0), x1, x2)) -> c12(U52'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U41(z0, z1), x1, x2)) -> c12(U52'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U51(z0, z1, z2), x1, x2)) -> c12(U52'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U52(z0, z1, z2), x1, x2)) -> c12(U52'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_s(z0), x1, x2)) -> c12(U52'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_plus(z0, z1), x1, x2)) -> c12(U52'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U61(z0), x1, x2)) -> c12(U52'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U71(z0, z1, z2), x1, x2)) -> c12(U52'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_U72(z0, z1, z2), x1, x2)) -> c12(U52'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(cons_x(z0, z1), x1, x2)) -> c12(U52'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(x0, x1, tt)) -> c12(U52'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, x1, 0)) -> c12(U52'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U52(x0, tt, x2)) -> c12(U52'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(x0, 0, x2)) -> c12(U52'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U52(tt, x1, x2)) -> c12(U52'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U52(0, x1, x2)) -> c12(U52'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c13(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c13(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1))) -> c13(S(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_s(cons_U12(z0))) -> c13(S(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_s(cons_isNat(z0))) -> c13(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U21(z0))) -> c13(S(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_s(cons_U31(z0, z1))) -> c13(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_s(cons_U32(z0))) -> c13(S(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c13(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c13(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_U52(z0, z1, z2))) -> c13(S(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c13(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c13(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c13(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c13(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_U72(z0, z1, z2))) -> c13(S(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c13(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_active(z0))) -> c14(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c14(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1))) -> c14(PLUS(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_plus(x0, cons_U12(z0))) -> c14(PLUS(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c14(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U21(z0))) -> c14(PLUS(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c14(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_plus(x0, cons_U32(z0))) -> c14(PLUS(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c14(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c14(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U52(z0, z1, z2))) -> c14(PLUS(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c14(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c14(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c14(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c14(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U72(z0, z1, z2))) -> c14(PLUS(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c14(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(cons_active(z0), x1)) -> c14(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c14(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1), x1)) -> c14(PLUS(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U12(z0), x1)) -> c14(PLUS(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c14(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0), x1)) -> c14(PLUS(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c14(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0), x1)) -> c14(PLUS(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c14(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c14(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U52(z0, z1, z2), x1)) -> c14(PLUS(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c14(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c14(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c14(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c14(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U72(z0, z1, z2), x1)) -> c14(PLUS(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c14(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c14(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c14(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c14(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c14(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c15(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c15(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1))) -> c15(U61'(U11(encArg(z0), encArg(z1))), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U61(cons_U12(z0))) -> c15(U61'(U12(encArg(z0))), ENCARG(cons_U12(z0))) ENCARG(cons_U61(cons_isNat(z0))) -> c15(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U21(z0))) -> c15(U61'(U21(encArg(z0))), ENCARG(cons_U21(z0))) ENCARG(cons_U61(cons_U31(z0, z1))) -> c15(U61'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U61(cons_U32(z0))) -> c15(U61'(U32(encArg(z0))), ENCARG(cons_U32(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c15(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c15(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_U52(z0, z1, z2))) -> c15(U61'(U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c15(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c15(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c15(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c15(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_U72(z0, z1, z2))) -> c15(U61'(U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c15(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c16(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c16(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))) -> c16(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U12(z0))) -> c16(U71'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c16(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0))) -> c16(U71'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U32(z0))) -> c16(U71'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c16(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))) -> c16(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_U52(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c16(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))) -> c16(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))) -> c16(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))) -> c16(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_U72(z0, z1, z2))) -> c16(U71'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c16(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c16(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c16(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1), x2)) -> c16(U71'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0), x2)) -> c16(U71'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c16(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0), x2)) -> c16(U71'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1), x2)) -> c16(U71'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0), x2)) -> c16(U71'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x2)) -> c16(U71'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c16(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c16(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c16(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1), x1, x2)) -> c16(U71'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0), x1, x2)) -> c16(U71'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c16(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0), x1, x2)) -> c16(U71'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1), x1, x2)) -> c16(U71'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0), x1, x2)) -> c16(U71'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c16(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)) -> c16(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_U52(z0, z1, z2), x1, x2)) -> c16(U71'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c16(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)) -> c16(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)) -> c16(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)) -> c16(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_U72(z0, z1, z2), x1, x2)) -> c16(U71'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c16(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c16(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c16(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c16(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c16(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c16(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c16(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, cons_active(z0))) -> c17(U72'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U72(x0, x1, cons_mark(z0))) -> c17(U72'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U72(x0, x1, cons_U11(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U12(z0))) -> c17(U72'(encArg(x0), encArg(x1), U12(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0))) ENCARG(cons_U72(x0, x1, cons_isNat(z0))) -> c17(U72'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U72(x0, x1, cons_U21(z0))) -> c17(U72'(encArg(x0), encArg(x1), U21(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0))) ENCARG(cons_U72(x0, x1, cons_U31(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U32(z0))) -> c17(U72'(encArg(x0), encArg(x1), U32(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0))) ENCARG(cons_U72(x0, x1, cons_U41(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U51(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U52(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_s(z0))) -> c17(U72'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U72(x0, x1, cons_plus(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U72(x0, x1, cons_U61(z0))) -> c17(U72'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U72(x0, x1, cons_U71(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_U72(z0, z1, z2))) -> c17(U72'(encArg(x0), encArg(x1), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_U72(x0, x1, cons_x(z0, z1))) -> c17(U72'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U72(x0, cons_active(z0), x2)) -> c17(U72'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_mark(z0), x2)) -> c17(U72'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U11(z0, z1), x2)) -> c17(U72'(encArg(x0), U11(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U12(z0), x2)) -> c17(U72'(encArg(x0), U12(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_isNat(z0), x2)) -> c17(U72'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U21(z0), x2)) -> c17(U72'(encArg(x0), U21(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U31(z0, z1), x2)) -> c17(U72'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U32(z0), x2)) -> c17(U72'(encArg(x0), U32(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U41(z0, z1), x2)) -> c17(U72'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U51(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U52(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_s(z0), x2)) -> c17(U72'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_plus(z0, z1), x2)) -> c17(U72'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U61(z0), x2)) -> c17(U72'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U71(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_U72(z0, z1, z2), x2)) -> c17(U72'(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U72(x0, cons_x(z0, z1), x2)) -> c17(U72'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U72(cons_active(z0), x1, x2)) -> c17(U72'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_mark(z0), x1, x2)) -> c17(U72'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U11(z0, z1), x1, x2)) -> c17(U72'(U11(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U12(z0), x1, x2)) -> c17(U72'(U12(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_isNat(z0), x1, x2)) -> c17(U72'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U21(z0), x1, x2)) -> c17(U72'(U21(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U31(z0, z1), x1, x2)) -> c17(U72'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U32(z0), x1, x2)) -> c17(U72'(U32(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U41(z0, z1), x1, x2)) -> c17(U72'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U51(z0, z1, z2), x1, x2)) -> c17(U72'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U52(z0, z1, z2), x1, x2)) -> c17(U72'(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_s(z0), x1, x2)) -> c17(U72'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_plus(z0, z1), x1, x2)) -> c17(U72'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U61(z0), x1, x2)) -> c17(U72'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U71(z0, z1, z2), x1, x2)) -> c17(U72'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_U72(z0, z1, z2), x1, x2)) -> c17(U72'(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(cons_x(z0, z1), x1, x2)) -> c17(U72'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(x0, x1, tt)) -> c17(U72'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, x1, 0)) -> c17(U72'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U72(x0, tt, x2)) -> c17(U72'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(x0, 0, x2)) -> c17(U72'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U72(tt, x1, x2)) -> c17(U72'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U72(0, x1, x2)) -> c17(U72'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c18(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c18(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1))) -> c18(X(encArg(x0), U11(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U11(z0, z1))) ENCARG(cons_x(x0, cons_U12(z0))) -> c18(X(encArg(x0), U12(encArg(z0))), ENCARG(x0), ENCARG(cons_U12(z0))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c18(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U21(z0))) -> c18(X(encArg(x0), U21(encArg(z0))), ENCARG(x0), ENCARG(cons_U21(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1))) -> c18(X(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1))) ENCARG(cons_x(x0, cons_U32(z0))) -> c18(X(encArg(x0), U32(encArg(z0))), ENCARG(x0), ENCARG(cons_U32(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c18(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c18(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_U52(z0, z1, z2))) -> c18(X(encArg(x0), U52(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U52(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c18(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c18(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c18(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c18(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_U72(z0, z1, z2))) -> c18(X(encArg(x0), U72(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U72(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c18(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(cons_active(z0), x1)) -> c18(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c18(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1), x1)) -> c18(X(U11(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U11(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0), x1)) -> c18(X(U12(encArg(z0)), encArg(x1)), ENCARG(cons_U12(z0)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c18(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0), x1)) -> c18(X(U21(encArg(z0)), encArg(x1)), ENCARG(cons_U21(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1), x1)) -> c18(X(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0), x1)) -> c18(X(U32(encArg(z0)), encArg(x1)), ENCARG(cons_U32(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c18(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c18(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U52(z0, z1, z2), x1)) -> c18(X(U52(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U52(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c18(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c18(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c18(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c18(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U72(z0, z1, z2), x1)) -> c18(X(U72(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U72(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c18(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c18(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c18(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c18(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c18(X(0, encArg(x1)), ENCARG(x1)) MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) MARK(U32(z0)) -> c63(ACTIVE(U32(z0)), U32'(mark(z0)), MARK(z0)) MARK(U32(U11(z0, z1))) -> c63(ACTIVE(U32(active(U11(mark(z0), z1)))), U32'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U32(tt)) -> c63(ACTIVE(U32(active(tt))), U32'(mark(tt)), MARK(tt)) MARK(U32(U12(z0))) -> c63(ACTIVE(U32(active(U12(mark(z0))))), U32'(mark(U12(z0))), MARK(U12(z0))) MARK(U32(isNat(z0))) -> c63(ACTIVE(U32(active(isNat(z0)))), U32'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U32(U21(z0))) -> c63(ACTIVE(U32(active(U21(mark(z0))))), U32'(mark(U21(z0))), MARK(U21(z0))) MARK(U32(U31(z0, z1))) -> c63(ACTIVE(U32(active(U31(mark(z0), z1)))), U32'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U32(U32(z0))) -> c63(ACTIVE(U32(active(U32(mark(z0))))), U32'(mark(U32(z0))), MARK(U32(z0))) MARK(U32(U41(z0, z1))) -> c63(ACTIVE(U32(active(U41(mark(z0), z1)))), U32'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U32(U51(z0, z1, z2))) -> c63(ACTIVE(U32(active(U51(mark(z0), z1, z2)))), U32'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U32(U52(z0, z1, z2))) -> c63(ACTIVE(U32(active(U52(mark(z0), z1, z2)))), U32'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U32(s(z0))) -> c63(ACTIVE(U32(active(s(mark(z0))))), U32'(mark(s(z0))), MARK(s(z0))) MARK(U32(plus(z0, z1))) -> c63(ACTIVE(U32(active(plus(mark(z0), mark(z1))))), U32'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U32(U61(z0))) -> c63(ACTIVE(U32(active(U61(mark(z0))))), U32'(mark(U61(z0))), MARK(U61(z0))) MARK(U32(0)) -> c63(ACTIVE(U32(active(0))), U32'(mark(0)), MARK(0)) MARK(U32(U71(z0, z1, z2))) -> c63(ACTIVE(U32(active(U71(mark(z0), z1, z2)))), U32'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U32(U72(z0, z1, z2))) -> c63(ACTIVE(U32(active(U72(mark(z0), z1, z2)))), U32'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U32(x(z0, z1))) -> c63(ACTIVE(U32(active(x(mark(z0), mark(z1))))), U32'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(z0, z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U41(U11(z0, z1), x1)) -> c64(ACTIVE(U41(active(U11(mark(z0), z1)), x1)), U41'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U41(tt, x1)) -> c64(ACTIVE(U41(active(tt), x1)), U41'(mark(tt), x1), MARK(tt)) MARK(U41(U12(z0), x1)) -> c64(ACTIVE(U41(active(U12(mark(z0))), x1)), U41'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U41(isNat(z0), x1)) -> c64(ACTIVE(U41(active(isNat(z0)), x1)), U41'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U41(U21(z0), x1)) -> c64(ACTIVE(U41(active(U21(mark(z0))), x1)), U41'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U41(U31(z0, z1), x1)) -> c64(ACTIVE(U41(active(U31(mark(z0), z1)), x1)), U41'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U41(U32(z0), x1)) -> c64(ACTIVE(U41(active(U32(mark(z0))), x1)), U41'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U41(U41(z0, z1), x1)) -> c64(ACTIVE(U41(active(U41(mark(z0), z1)), x1)), U41'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U41(U51(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U51(mark(z0), z1, z2)), x1)), U41'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U41(U52(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U52(mark(z0), z1, z2)), x1)), U41'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U41(s(z0), x1)) -> c64(ACTIVE(U41(active(s(mark(z0))), x1)), U41'(mark(s(z0)), x1), MARK(s(z0))) MARK(U41(plus(z0, z1), x1)) -> c64(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1)), U41'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U41(U61(z0), x1)) -> c64(ACTIVE(U41(active(U61(mark(z0))), x1)), U41'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U41(0, x1)) -> c64(ACTIVE(U41(active(0), x1)), U41'(mark(0), x1), MARK(0)) MARK(U41(U71(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U71(mark(z0), z1, z2)), x1)), U41'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U41(U72(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U72(mark(z0), z1, z2)), x1)), U41'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U41(x(z0, z1), x1)) -> c64(ACTIVE(U41(active(x(mark(z0), mark(z1))), x1)), U41'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U41(x0, x1)) -> c64(U41'(mark(x0), x1)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(z0, z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U51(U11(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U11(mark(z0), z1)), x1, x2)), U51'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U51(tt, x1, x2)) -> c65(ACTIVE(U51(active(tt), x1, x2)), U51'(mark(tt), x1, x2), MARK(tt)) MARK(U51(U12(z0), x1, x2)) -> c65(ACTIVE(U51(active(U12(mark(z0))), x1, x2)), U51'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U51(isNat(z0), x1, x2)) -> c65(ACTIVE(U51(active(isNat(z0)), x1, x2)), U51'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U51(U21(z0), x1, x2)) -> c65(ACTIVE(U51(active(U21(mark(z0))), x1, x2)), U51'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U51(U31(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U31(mark(z0), z1)), x1, x2)), U51'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U51(U32(z0), x1, x2)) -> c65(ACTIVE(U51(active(U32(mark(z0))), x1, x2)), U51'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U51(U41(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U41(mark(z0), z1)), x1, x2)), U51'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U51(U51(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U51(mark(z0), z1, z2)), x1, x2)), U51'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U51(U52(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U52(mark(z0), z1, z2)), x1, x2)), U51'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U51(s(z0), x1, x2)) -> c65(ACTIVE(U51(active(s(mark(z0))), x1, x2)), U51'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U51(plus(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(plus(mark(z0), mark(z1))), x1, x2)), U51'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U51(U61(z0), x1, x2)) -> c65(ACTIVE(U51(active(U61(mark(z0))), x1, x2)), U51'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U51(0, x1, x2)) -> c65(ACTIVE(U51(active(0), x1, x2)), U51'(mark(0), x1, x2), MARK(0)) MARK(U51(U71(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U71(mark(z0), z1, z2)), x1, x2)), U51'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U51(U72(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U72(mark(z0), z1, z2)), x1, x2)), U51'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U51(x(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(x(mark(z0), mark(z1))), x1, x2)), U51'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U51(x0, x1, x2)) -> c65(U51'(mark(x0), x1, x2)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(z0, z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(U52(U11(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U11(mark(z0), z1)), x1, x2)), U52'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U52(tt, x1, x2)) -> c66(ACTIVE(U52(active(tt), x1, x2)), U52'(mark(tt), x1, x2), MARK(tt)) MARK(U52(U12(z0), x1, x2)) -> c66(ACTIVE(U52(active(U12(mark(z0))), x1, x2)), U52'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U52(isNat(z0), x1, x2)) -> c66(ACTIVE(U52(active(isNat(z0)), x1, x2)), U52'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U52(U21(z0), x1, x2)) -> c66(ACTIVE(U52(active(U21(mark(z0))), x1, x2)), U52'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U52(U31(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U31(mark(z0), z1)), x1, x2)), U52'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U52(U32(z0), x1, x2)) -> c66(ACTIVE(U52(active(U32(mark(z0))), x1, x2)), U52'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U52(U41(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U41(mark(z0), z1)), x1, x2)), U52'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U52(U51(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U51(mark(z0), z1, z2)), x1, x2)), U52'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U52(U52(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U52(mark(z0), z1, z2)), x1, x2)), U52'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U52(s(z0), x1, x2)) -> c66(ACTIVE(U52(active(s(mark(z0))), x1, x2)), U52'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U52(plus(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(plus(mark(z0), mark(z1))), x1, x2)), U52'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U52(U61(z0), x1, x2)) -> c66(ACTIVE(U52(active(U61(mark(z0))), x1, x2)), U52'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U52(0, x1, x2)) -> c66(ACTIVE(U52(active(0), x1, x2)), U52'(mark(0), x1, x2), MARK(0)) MARK(U52(U71(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U71(mark(z0), z1, z2)), x1, x2)), U52'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U52(U72(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U72(mark(z0), z1, z2)), x1, x2)), U52'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U52(x(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(x(mark(z0), mark(z1))), x1, x2)), U52'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U52(x0, x1, x2)) -> c66(U52'(mark(x0), x1, x2)) MARK(s(U11(z0, z1))) -> c67(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(s(tt)) -> c67(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt)) MARK(s(U12(z0))) -> c67(ACTIVE(s(active(U12(mark(z0))))), S(mark(U12(z0))), MARK(U12(z0))) MARK(s(isNat(z0))) -> c67(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0))) MARK(s(U21(z0))) -> c67(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0))) MARK(s(U31(z0, z1))) -> c67(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(s(U32(z0))) -> c67(ACTIVE(s(active(U32(mark(z0))))), S(mark(U32(z0))), MARK(U32(z0))) MARK(s(U41(z0, z1))) -> c67(ACTIVE(s(active(U41(mark(z0), z1)))), S(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(s(U51(z0, z1, z2))) -> c67(ACTIVE(s(active(U51(mark(z0), z1, z2)))), S(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(s(U52(z0, z1, z2))) -> c67(ACTIVE(s(active(U52(mark(z0), z1, z2)))), S(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(s(s(z0))) -> c67(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(plus(z0, z1))) -> c67(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(s(U61(z0))) -> c67(ACTIVE(s(active(U61(mark(z0))))), S(mark(U61(z0))), MARK(U61(z0))) MARK(s(0)) -> c67(ACTIVE(s(active(0))), S(mark(0)), MARK(0)) MARK(s(U71(z0, z1, z2))) -> c67(ACTIVE(s(active(U71(mark(z0), z1, z2)))), S(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(s(U72(z0, z1, z2))) -> c67(ACTIVE(s(active(U72(mark(z0), z1, z2)))), S(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(s(x(z0, z1))) -> c67(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(s(z0)) -> c67(S(mark(z0)), MARK(z0)) MARK(plus(z0, x1)) -> c68(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(plus(x0, z1)) -> c68(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(plus(x0, U11(z0, z1))) -> c68(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1)))), PLUS(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(z0, z1))) MARK(plus(x0, tt)) -> c68(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt)) MARK(plus(x0, U12(z0))) -> c68(ACTIVE(plus(mark(x0), active(U12(mark(z0))))), PLUS(mark(x0), mark(U12(z0))), MARK(x0), MARK(U12(z0))) MARK(plus(x0, isNat(z0))) -> c68(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0))) MARK(plus(x0, U21(z0))) -> c68(ACTIVE(plus(mark(x0), active(U21(mark(z0))))), PLUS(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0))) MARK(plus(x0, U31(z0, z1))) -> c68(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1))) MARK(plus(x0, U32(z0))) -> c68(ACTIVE(plus(mark(x0), active(U32(mark(z0))))), PLUS(mark(x0), mark(U32(z0))), MARK(x0), MARK(U32(z0))) MARK(plus(x0, U41(z0, z1))) -> c68(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1)))), PLUS(mark(x0), mark(U41(z0, z1))), MARK(x0), MARK(U41(z0, z1))) MARK(plus(x0, U51(z0, z1, z2))) -> c68(ACTIVE(plus(mark(x0), active(U51(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U51(z0, z1, z2))), MARK(x0), MARK(U51(z0, z1, z2))) MARK(plus(x0, U52(z0, z1, z2))) -> c68(ACTIVE(plus(mark(x0), active(U52(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U52(z0, z1, z2))), MARK(x0), MARK(U52(z0, z1, z2))) MARK(plus(x0, s(z0))) -> c68(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(plus(x0, plus(z0, z1))) -> c68(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1))) MARK(plus(x0, U61(z0))) -> c68(ACTIVE(plus(mark(x0), active(U61(mark(z0))))), PLUS(mark(x0), mark(U61(z0))), MARK(x0), MARK(U61(z0))) MARK(plus(x0, 0)) -> c68(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0)) MARK(plus(x0, U71(z0, z1, z2))) -> c68(ACTIVE(plus(mark(x0), active(U71(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U71(z0, z1, z2))), MARK(x0), MARK(U71(z0, z1, z2))) MARK(plus(x0, U72(z0, z1, z2))) -> c68(ACTIVE(plus(mark(x0), active(U72(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U72(z0, z1, z2))), MARK(x0), MARK(U72(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c68(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1))) MARK(plus(U11(z0, z1), x1)) -> c68(ACTIVE(plus(active(U11(mark(z0), z1)), mark(x1))), PLUS(mark(U11(z0, z1)), mark(x1)), MARK(U11(z0, z1)), MARK(x1)) MARK(plus(tt, x1)) -> c68(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1)) MARK(plus(U12(z0), x1)) -> c68(ACTIVE(plus(active(U12(mark(z0))), mark(x1))), PLUS(mark(U12(z0)), mark(x1)), MARK(U12(z0)), MARK(x1)) MARK(plus(isNat(z0), x1)) -> c68(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1)) MARK(plus(U21(z0), x1)) -> c68(ACTIVE(plus(active(U21(mark(z0))), mark(x1))), PLUS(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1)) MARK(plus(U31(z0, z1), x1)) -> c68(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1)) MARK(plus(U32(z0), x1)) -> c68(ACTIVE(plus(active(U32(mark(z0))), mark(x1))), PLUS(mark(U32(z0)), mark(x1)), MARK(U32(z0)), MARK(x1)) MARK(plus(U41(z0, z1), x1)) -> c68(ACTIVE(plus(active(U41(mark(z0), z1)), mark(x1))), PLUS(mark(U41(z0, z1)), mark(x1)), MARK(U41(z0, z1)), MARK(x1)) MARK(plus(U51(z0, z1, z2), x1)) -> c68(ACTIVE(plus(active(U51(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U51(z0, z1, z2)), mark(x1)), MARK(U51(z0, z1, z2)), MARK(x1)) MARK(plus(U52(z0, z1, z2), x1)) -> c68(ACTIVE(plus(active(U52(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U52(z0, z1, z2)), mark(x1)), MARK(U52(z0, z1, z2)), MARK(x1)) MARK(plus(s(z0), x1)) -> c68(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c68(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1)) MARK(plus(U61(z0), x1)) -> c68(ACTIVE(plus(active(U61(mark(z0))), mark(x1))), PLUS(mark(U61(z0)), mark(x1)), MARK(U61(z0)), MARK(x1)) MARK(plus(0, x1)) -> c68(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1)) MARK(plus(U71(z0, z1, z2), x1)) -> c68(ACTIVE(plus(active(U71(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U71(z0, z1, z2)), mark(x1)), MARK(U71(z0, z1, z2)), MARK(x1)) MARK(plus(U72(z0, z1, z2), x1)) -> c68(ACTIVE(plus(active(U72(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U72(z0, z1, z2)), mark(x1)), MARK(U72(z0, z1, z2)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c68(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1)) S tuples: ACTIVE(U12(tt)) -> c39(MARK(tt)) ACTIVE(U21(tt)) -> c40(MARK(tt)) ACTIVE(U32(tt)) -> c42(MARK(tt)) ACTIVE(U41(tt, z0)) -> c43(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c44(MARK(U52(isNat(z1), z0, z1)), U52'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(U61(tt)) -> c46(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c47(MARK(U72(isNat(z1), z0, z1)), U72'(isNat(z1), z0, z1), ISNAT(z1)) ACTIVE(isNat(0)) -> c49(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c50(MARK(U11(isNat(z0), z1)), U11'(isNat(z0), z1), ISNAT(z0)) ACTIVE(isNat(x(z0, z1))) -> c52(MARK(U31(isNat(z0), z1)), U31'(isNat(z0), z1), ISNAT(z0)) ACTIVE(plus(z0, s(z1))) -> c54(MARK(U51(isNat(z1), z1, z0)), U51'(isNat(z1), z1, z0), ISNAT(z1)) ACTIVE(x(z0, s(z1))) -> c56(MARK(U71(isNat(z1), z1, z0)), U71'(isNat(z1), z1, z0), ISNAT(z1)) MARK(isNat(z0)) -> c60(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U61(z0)) -> c69(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c71(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(U72(z0, z1, z2)) -> c72(ACTIVE(U72(mark(z0), z1, z2)), U72'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c73(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) U11'(mark(z0), z1) -> c74(U11'(z0, z1)) U11'(z0, mark(z1)) -> c75(U11'(z0, z1)) U11'(active(z0), z1) -> c76(U11'(z0, z1)) U11'(z0, active(z1)) -> c77(U11'(z0, z1)) U12'(mark(z0)) -> c78(U12'(z0)) U12'(active(z0)) -> c79(U12'(z0)) ISNAT(mark(z0)) -> c80(ISNAT(z0)) ISNAT(active(z0)) -> c81(ISNAT(z0)) U21'(mark(z0)) -> c82(U21'(z0)) U21'(active(z0)) -> c83(U21'(z0)) U31'(mark(z0), z1) -> c84(U31'(z0, z1)) U31'(z0, mark(z1)) -> c85(U31'(z0, z1)) U31'(active(z0), z1) -> c86(U31'(z0, z1)) U31'(z0, active(z1)) -> c87(U31'(z0, z1)) U32'(mark(z0)) -> c88(U32'(z0)) U32'(active(z0)) -> c89(U32'(z0)) U41'(mark(z0), z1) -> c90(U41'(z0, z1)) U41'(z0, mark(z1)) -> c91(U41'(z0, z1)) U41'(active(z0), z1) -> c92(U41'(z0, z1)) U41'(z0, active(z1)) -> c93(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c94(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c95(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c96(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c97(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c98(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c99(U51'(z0, z1, z2)) U52'(mark(z0), z1, z2) -> c100(U52'(z0, z1, z2)) U52'(z0, mark(z1), z2) -> c101(U52'(z0, z1, z2)) U52'(z0, z1, mark(z2)) -> c102(U52'(z0, z1, z2)) U52'(active(z0), z1, z2) -> c103(U52'(z0, z1, z2)) U52'(z0, active(z1), z2) -> c104(U52'(z0, z1, z2)) U52'(z0, z1, active(z2)) -> c105(U52'(z0, z1, z2)) S(mark(z0)) -> c106(S(z0)) S(active(z0)) -> c107(S(z0)) PLUS(mark(z0), z1) -> c108(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c109(PLUS(z0, z1)) PLUS(active(z0), z1) -> c110(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c111(PLUS(z0, z1)) U61'(mark(z0)) -> c112(U61'(z0)) U61'(active(z0)) -> c113(U61'(z0)) U71'(mark(z0), z1, z2) -> c114(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c115(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c116(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c117(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c118(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c119(U71'(z0, z1, z2)) U72'(mark(z0), z1, z2) -> c120(U72'(z0, z1, z2)) U72'(z0, mark(z1), z2) -> c121(U72'(z0, z1, z2)) U72'(z0, z1, mark(z2)) -> c122(U72'(z0, z1, z2)) U72'(active(z0), z1, z2) -> c123(U72'(z0, z1, z2)) U72'(z0, active(z1), z2) -> c124(U72'(z0, z1, z2)) U72'(z0, z1, active(z2)) -> c125(U72'(z0, z1, z2)) X(mark(z0), z1) -> c126(X(z0, z1)) X(z0, mark(z1)) -> c127(X(z0, z1)) X(active(z0), z1) -> c128(X(z0, z1)) X(z0, active(z1)) -> c129(X(z0, z1)) ACTIVE(U11(tt, z0)) -> c38(MARK(U12(isNat(z0))), ISNAT(z0)) ACTIVE(U31(tt, z0)) -> c41(MARK(U32(isNat(z0))), ISNAT(z0)) ACTIVE(U52(tt, z0, z1)) -> c45(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U72(tt, z0, z1)) -> c48(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(s(z0))) -> c51(MARK(U21(isNat(z0))), ISNAT(z0)) ACTIVE(plus(z0, 0)) -> c53(MARK(U41(isNat(z0), z0)), ISNAT(z0)) ACTIVE(x(z0, 0)) -> c55(MARK(U61(isNat(z0))), ISNAT(z0)) MARK(tt) -> c58 MARK(0) -> c70 MARK(U11(z0, z1)) -> c57(ACTIVE(U11(z0, z1)), U11'(mark(z0), z1), MARK(z0)) MARK(U11(U11(z0, z1), x1)) -> c57(ACTIVE(U11(active(U11(mark(z0), z1)), x1)), U11'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U11(tt, x1)) -> c57(ACTIVE(U11(active(tt), x1)), U11'(mark(tt), x1), MARK(tt)) MARK(U11(U12(z0), x1)) -> c57(ACTIVE(U11(active(U12(mark(z0))), x1)), U11'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U11(isNat(z0), x1)) -> c57(ACTIVE(U11(active(isNat(z0)), x1)), U11'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U11(U21(z0), x1)) -> c57(ACTIVE(U11(active(U21(mark(z0))), x1)), U11'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U11(U31(z0, z1), x1)) -> c57(ACTIVE(U11(active(U31(mark(z0), z1)), x1)), U11'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U11(U32(z0), x1)) -> c57(ACTIVE(U11(active(U32(mark(z0))), x1)), U11'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U11(U41(z0, z1), x1)) -> c57(ACTIVE(U11(active(U41(mark(z0), z1)), x1)), U11'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1)), U11'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U11(U52(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U52(mark(z0), z1, z2)), x1)), U11'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U11(s(z0), x1)) -> c57(ACTIVE(U11(active(s(mark(z0))), x1)), U11'(mark(s(z0)), x1), MARK(s(z0))) MARK(U11(plus(z0, z1), x1)) -> c57(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1)), U11'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1)) -> c57(ACTIVE(U11(active(U61(mark(z0))), x1)), U11'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U11(0, x1)) -> c57(ACTIVE(U11(active(0), x1)), U11'(mark(0), x1), MARK(0)) MARK(U11(U71(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1)), U11'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U11(U72(z0, z1, z2), x1)) -> c57(ACTIVE(U11(active(U72(mark(z0), z1, z2)), x1)), U11'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U11(x(z0, z1), x1)) -> c57(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1)), U11'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U11(x0, x1)) -> c57(U11'(mark(x0), x1)) MARK(U12(z0)) -> c59(ACTIVE(U12(z0)), U12'(mark(z0)), MARK(z0)) MARK(U12(U11(z0, z1))) -> c59(ACTIVE(U12(active(U11(mark(z0), z1)))), U12'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U12(tt)) -> c59(ACTIVE(U12(active(tt))), U12'(mark(tt)), MARK(tt)) MARK(U12(U12(z0))) -> c59(ACTIVE(U12(active(U12(mark(z0))))), U12'(mark(U12(z0))), MARK(U12(z0))) MARK(U12(isNat(z0))) -> c59(ACTIVE(U12(active(isNat(z0)))), U12'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U12(U21(z0))) -> c59(ACTIVE(U12(active(U21(mark(z0))))), U12'(mark(U21(z0))), MARK(U21(z0))) MARK(U12(U31(z0, z1))) -> c59(ACTIVE(U12(active(U31(mark(z0), z1)))), U12'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U12(U32(z0))) -> c59(ACTIVE(U12(active(U32(mark(z0))))), U12'(mark(U32(z0))), MARK(U32(z0))) MARK(U12(U41(z0, z1))) -> c59(ACTIVE(U12(active(U41(mark(z0), z1)))), U12'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2))) -> c59(ACTIVE(U12(active(U51(mark(z0), z1, z2)))), U12'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U12(U52(z0, z1, z2))) -> c59(ACTIVE(U12(active(U52(mark(z0), z1, z2)))), U12'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U12(s(z0))) -> c59(ACTIVE(U12(active(s(mark(z0))))), U12'(mark(s(z0))), MARK(s(z0))) MARK(U12(plus(z0, z1))) -> c59(ACTIVE(U12(active(plus(mark(z0), mark(z1))))), U12'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U12(U61(z0))) -> c59(ACTIVE(U12(active(U61(mark(z0))))), U12'(mark(U61(z0))), MARK(U61(z0))) MARK(U12(0)) -> c59(ACTIVE(U12(active(0))), U12'(mark(0)), MARK(0)) MARK(U12(U71(z0, z1, z2))) -> c59(ACTIVE(U12(active(U71(mark(z0), z1, z2)))), U12'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U12(U72(z0, z1, z2))) -> c59(ACTIVE(U12(active(U72(mark(z0), z1, z2)))), U12'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U12(x(z0, z1))) -> c59(ACTIVE(U12(active(x(mark(z0), mark(z1))))), U12'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U21(z0)) -> c61(ACTIVE(U21(z0)), U21'(mark(z0)), MARK(z0)) MARK(U21(U11(z0, z1))) -> c61(ACTIVE(U21(active(U11(mark(z0), z1)))), U21'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U21(tt)) -> c61(ACTIVE(U21(active(tt))), U21'(mark(tt)), MARK(tt)) MARK(U21(U12(z0))) -> c61(ACTIVE(U21(active(U12(mark(z0))))), U21'(mark(U12(z0))), MARK(U12(z0))) MARK(U21(isNat(z0))) -> c61(ACTIVE(U21(active(isNat(z0)))), U21'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U21(U21(z0))) -> c61(ACTIVE(U21(active(U21(mark(z0))))), U21'(mark(U21(z0))), MARK(U21(z0))) MARK(U21(U31(z0, z1))) -> c61(ACTIVE(U21(active(U31(mark(z0), z1)))), U21'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U21(U32(z0))) -> c61(ACTIVE(U21(active(U32(mark(z0))))), U21'(mark(U32(z0))), MARK(U32(z0))) MARK(U21(U41(z0, z1))) -> c61(ACTIVE(U21(active(U41(mark(z0), z1)))), U21'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U21(U51(z0, z1, z2))) -> c61(ACTIVE(U21(active(U51(mark(z0), z1, z2)))), U21'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U21(U52(z0, z1, z2))) -> c61(ACTIVE(U21(active(U52(mark(z0), z1, z2)))), U21'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U21(s(z0))) -> c61(ACTIVE(U21(active(s(mark(z0))))), U21'(mark(s(z0))), MARK(s(z0))) MARK(U21(plus(z0, z1))) -> c61(ACTIVE(U21(active(plus(mark(z0), mark(z1))))), U21'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U21(U61(z0))) -> c61(ACTIVE(U21(active(U61(mark(z0))))), U21'(mark(U61(z0))), MARK(U61(z0))) MARK(U21(0)) -> c61(ACTIVE(U21(active(0))), U21'(mark(0)), MARK(0)) MARK(U21(U71(z0, z1, z2))) -> c61(ACTIVE(U21(active(U71(mark(z0), z1, z2)))), U21'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U21(U72(z0, z1, z2))) -> c61(ACTIVE(U21(active(U72(mark(z0), z1, z2)))), U21'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U21(x(z0, z1))) -> c61(ACTIVE(U21(active(x(mark(z0), mark(z1))))), U21'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U31(z0, z1)) -> c62(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0)) MARK(U31(U11(z0, z1), x1)) -> c62(ACTIVE(U31(active(U11(mark(z0), z1)), x1)), U31'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U31(tt, x1)) -> c62(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt)) MARK(U31(U12(z0), x1)) -> c62(ACTIVE(U31(active(U12(mark(z0))), x1)), U31'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U31(isNat(z0), x1)) -> c62(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U31(U21(z0), x1)) -> c62(ACTIVE(U31(active(U21(mark(z0))), x1)), U31'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U31(U31(z0, z1), x1)) -> c62(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U31(U32(z0), x1)) -> c62(ACTIVE(U31(active(U32(mark(z0))), x1)), U31'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U31(U41(z0, z1), x1)) -> c62(ACTIVE(U31(active(U41(mark(z0), z1)), x1)), U31'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U31(U51(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U51(mark(z0), z1, z2)), x1)), U31'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U31(U52(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U52(mark(z0), z1, z2)), x1)), U31'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U31(s(z0), x1)) -> c62(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0))) MARK(U31(plus(z0, z1), x1)) -> c62(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U31(U61(z0), x1)) -> c62(ACTIVE(U31(active(U61(mark(z0))), x1)), U31'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U31(0, x1)) -> c62(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0)) MARK(U31(U71(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U71(mark(z0), z1, z2)), x1)), U31'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U31(U72(z0, z1, z2), x1)) -> c62(ACTIVE(U31(active(U72(mark(z0), z1, z2)), x1)), U31'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U31(x(z0, z1), x1)) -> c62(ACTIVE(U31(active(x(mark(z0), mark(z1))), x1)), U31'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U31(x0, x1)) -> c62(U31'(mark(x0), x1)) MARK(U32(z0)) -> c63(ACTIVE(U32(z0)), U32'(mark(z0)), MARK(z0)) MARK(U32(U11(z0, z1))) -> c63(ACTIVE(U32(active(U11(mark(z0), z1)))), U32'(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(U32(tt)) -> c63(ACTIVE(U32(active(tt))), U32'(mark(tt)), MARK(tt)) MARK(U32(U12(z0))) -> c63(ACTIVE(U32(active(U12(mark(z0))))), U32'(mark(U12(z0))), MARK(U12(z0))) MARK(U32(isNat(z0))) -> c63(ACTIVE(U32(active(isNat(z0)))), U32'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U32(U21(z0))) -> c63(ACTIVE(U32(active(U21(mark(z0))))), U32'(mark(U21(z0))), MARK(U21(z0))) MARK(U32(U31(z0, z1))) -> c63(ACTIVE(U32(active(U31(mark(z0), z1)))), U32'(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(U32(U32(z0))) -> c63(ACTIVE(U32(active(U32(mark(z0))))), U32'(mark(U32(z0))), MARK(U32(z0))) MARK(U32(U41(z0, z1))) -> c63(ACTIVE(U32(active(U41(mark(z0), z1)))), U32'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U32(U51(z0, z1, z2))) -> c63(ACTIVE(U32(active(U51(mark(z0), z1, z2)))), U32'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U32(U52(z0, z1, z2))) -> c63(ACTIVE(U32(active(U52(mark(z0), z1, z2)))), U32'(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(U32(s(z0))) -> c63(ACTIVE(U32(active(s(mark(z0))))), U32'(mark(s(z0))), MARK(s(z0))) MARK(U32(plus(z0, z1))) -> c63(ACTIVE(U32(active(plus(mark(z0), mark(z1))))), U32'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U32(U61(z0))) -> c63(ACTIVE(U32(active(U61(mark(z0))))), U32'(mark(U61(z0))), MARK(U61(z0))) MARK(U32(0)) -> c63(ACTIVE(U32(active(0))), U32'(mark(0)), MARK(0)) MARK(U32(U71(z0, z1, z2))) -> c63(ACTIVE(U32(active(U71(mark(z0), z1, z2)))), U32'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U32(U72(z0, z1, z2))) -> c63(ACTIVE(U32(active(U72(mark(z0), z1, z2)))), U32'(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(U32(x(z0, z1))) -> c63(ACTIVE(U32(active(x(mark(z0), mark(z1))))), U32'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U41(z0, z1)) -> c64(ACTIVE(U41(z0, z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U41(U11(z0, z1), x1)) -> c64(ACTIVE(U41(active(U11(mark(z0), z1)), x1)), U41'(mark(U11(z0, z1)), x1), MARK(U11(z0, z1))) MARK(U41(tt, x1)) -> c64(ACTIVE(U41(active(tt), x1)), U41'(mark(tt), x1), MARK(tt)) MARK(U41(U12(z0), x1)) -> c64(ACTIVE(U41(active(U12(mark(z0))), x1)), U41'(mark(U12(z0)), x1), MARK(U12(z0))) MARK(U41(isNat(z0), x1)) -> c64(ACTIVE(U41(active(isNat(z0)), x1)), U41'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U41(U21(z0), x1)) -> c64(ACTIVE(U41(active(U21(mark(z0))), x1)), U41'(mark(U21(z0)), x1), MARK(U21(z0))) MARK(U41(U31(z0, z1), x1)) -> c64(ACTIVE(U41(active(U31(mark(z0), z1)), x1)), U41'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1))) MARK(U41(U32(z0), x1)) -> c64(ACTIVE(U41(active(U32(mark(z0))), x1)), U41'(mark(U32(z0)), x1), MARK(U32(z0))) MARK(U41(U41(z0, z1), x1)) -> c64(ACTIVE(U41(active(U41(mark(z0), z1)), x1)), U41'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U41(U51(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U51(mark(z0), z1, z2)), x1)), U41'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U41(U52(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U52(mark(z0), z1, z2)), x1)), U41'(mark(U52(z0, z1, z2)), x1), MARK(U52(z0, z1, z2))) MARK(U41(s(z0), x1)) -> c64(ACTIVE(U41(active(s(mark(z0))), x1)), U41'(mark(s(z0)), x1), MARK(s(z0))) MARK(U41(plus(z0, z1), x1)) -> c64(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1)), U41'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U41(U61(z0), x1)) -> c64(ACTIVE(U41(active(U61(mark(z0))), x1)), U41'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U41(0, x1)) -> c64(ACTIVE(U41(active(0), x1)), U41'(mark(0), x1), MARK(0)) MARK(U41(U71(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U71(mark(z0), z1, z2)), x1)), U41'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U41(U72(z0, z1, z2), x1)) -> c64(ACTIVE(U41(active(U72(mark(z0), z1, z2)), x1)), U41'(mark(U72(z0, z1, z2)), x1), MARK(U72(z0, z1, z2))) MARK(U41(x(z0, z1), x1)) -> c64(ACTIVE(U41(active(x(mark(z0), mark(z1))), x1)), U41'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U41(x0, x1)) -> c64(U41'(mark(x0), x1)) MARK(U51(z0, z1, z2)) -> c65(ACTIVE(U51(z0, z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(U51(U11(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U11(mark(z0), z1)), x1, x2)), U51'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U51(tt, x1, x2)) -> c65(ACTIVE(U51(active(tt), x1, x2)), U51'(mark(tt), x1, x2), MARK(tt)) MARK(U51(U12(z0), x1, x2)) -> c65(ACTIVE(U51(active(U12(mark(z0))), x1, x2)), U51'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U51(isNat(z0), x1, x2)) -> c65(ACTIVE(U51(active(isNat(z0)), x1, x2)), U51'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U51(U21(z0), x1, x2)) -> c65(ACTIVE(U51(active(U21(mark(z0))), x1, x2)), U51'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U51(U31(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U31(mark(z0), z1)), x1, x2)), U51'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U51(U32(z0), x1, x2)) -> c65(ACTIVE(U51(active(U32(mark(z0))), x1, x2)), U51'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U51(U41(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(U41(mark(z0), z1)), x1, x2)), U51'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U51(U51(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U51(mark(z0), z1, z2)), x1, x2)), U51'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U51(U52(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U52(mark(z0), z1, z2)), x1, x2)), U51'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U51(s(z0), x1, x2)) -> c65(ACTIVE(U51(active(s(mark(z0))), x1, x2)), U51'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U51(plus(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(plus(mark(z0), mark(z1))), x1, x2)), U51'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U51(U61(z0), x1, x2)) -> c65(ACTIVE(U51(active(U61(mark(z0))), x1, x2)), U51'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U51(0, x1, x2)) -> c65(ACTIVE(U51(active(0), x1, x2)), U51'(mark(0), x1, x2), MARK(0)) MARK(U51(U71(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U71(mark(z0), z1, z2)), x1, x2)), U51'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U51(U72(z0, z1, z2), x1, x2)) -> c65(ACTIVE(U51(active(U72(mark(z0), z1, z2)), x1, x2)), U51'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U51(x(z0, z1), x1, x2)) -> c65(ACTIVE(U51(active(x(mark(z0), mark(z1))), x1, x2)), U51'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U51(x0, x1, x2)) -> c65(U51'(mark(x0), x1, x2)) MARK(U52(z0, z1, z2)) -> c66(ACTIVE(U52(z0, z1, z2)), U52'(mark(z0), z1, z2), MARK(z0)) MARK(U52(U11(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U11(mark(z0), z1)), x1, x2)), U52'(mark(U11(z0, z1)), x1, x2), MARK(U11(z0, z1))) MARK(U52(tt, x1, x2)) -> c66(ACTIVE(U52(active(tt), x1, x2)), U52'(mark(tt), x1, x2), MARK(tt)) MARK(U52(U12(z0), x1, x2)) -> c66(ACTIVE(U52(active(U12(mark(z0))), x1, x2)), U52'(mark(U12(z0)), x1, x2), MARK(U12(z0))) MARK(U52(isNat(z0), x1, x2)) -> c66(ACTIVE(U52(active(isNat(z0)), x1, x2)), U52'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U52(U21(z0), x1, x2)) -> c66(ACTIVE(U52(active(U21(mark(z0))), x1, x2)), U52'(mark(U21(z0)), x1, x2), MARK(U21(z0))) MARK(U52(U31(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U31(mark(z0), z1)), x1, x2)), U52'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1))) MARK(U52(U32(z0), x1, x2)) -> c66(ACTIVE(U52(active(U32(mark(z0))), x1, x2)), U52'(mark(U32(z0)), x1, x2), MARK(U32(z0))) MARK(U52(U41(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(U41(mark(z0), z1)), x1, x2)), U52'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U52(U51(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U51(mark(z0), z1, z2)), x1, x2)), U52'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U52(U52(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U52(mark(z0), z1, z2)), x1, x2)), U52'(mark(U52(z0, z1, z2)), x1, x2), MARK(U52(z0, z1, z2))) MARK(U52(s(z0), x1, x2)) -> c66(ACTIVE(U52(active(s(mark(z0))), x1, x2)), U52'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U52(plus(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(plus(mark(z0), mark(z1))), x1, x2)), U52'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U52(U61(z0), x1, x2)) -> c66(ACTIVE(U52(active(U61(mark(z0))), x1, x2)), U52'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U52(0, x1, x2)) -> c66(ACTIVE(U52(active(0), x1, x2)), U52'(mark(0), x1, x2), MARK(0)) MARK(U52(U71(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U71(mark(z0), z1, z2)), x1, x2)), U52'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U52(U72(z0, z1, z2), x1, x2)) -> c66(ACTIVE(U52(active(U72(mark(z0), z1, z2)), x1, x2)), U52'(mark(U72(z0, z1, z2)), x1, x2), MARK(U72(z0, z1, z2))) MARK(U52(x(z0, z1), x1, x2)) -> c66(ACTIVE(U52(active(x(mark(z0), mark(z1))), x1, x2)), U52'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U52(x0, x1, x2)) -> c66(U52'(mark(x0), x1, x2)) MARK(s(U11(z0, z1))) -> c67(ACTIVE(s(active(U11(mark(z0), z1)))), S(mark(U11(z0, z1))), MARK(U11(z0, z1))) MARK(s(tt)) -> c67(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt)) MARK(s(U12(z0))) -> c67(ACTIVE(s(active(U12(mark(z0))))), S(mark(U12(z0))), MARK(U12(z0))) MARK(s(isNat(z0))) -> c67(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0))) MARK(s(U21(z0))) -> c67(ACTIVE(s(active(U21(mark(z0))))), S(mark(U21(z0))), MARK(U21(z0))) MARK(s(U31(z0, z1))) -> c67(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1))) MARK(s(U32(z0))) -> c67(ACTIVE(s(active(U32(mark(z0))))), S(mark(U32(z0))), MARK(U32(z0))) MARK(s(U41(z0, z1))) -> c67(ACTIVE(s(active(U41(mark(z0), z1)))), S(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(s(U51(z0, z1, z2))) -> c67(ACTIVE(s(active(U51(mark(z0), z1, z2)))), S(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(s(U52(z0, z1, z2))) -> c67(ACTIVE(s(active(U52(mark(z0), z1, z2)))), S(mark(U52(z0, z1, z2))), MARK(U52(z0, z1, z2))) MARK(s(s(z0))) -> c67(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(plus(z0, z1))) -> c67(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(s(U61(z0))) -> c67(ACTIVE(s(active(U61(mark(z0))))), S(mark(U61(z0))), MARK(U61(z0))) MARK(s(0)) -> c67(ACTIVE(s(active(0))), S(mark(0)), MARK(0)) MARK(s(U71(z0, z1, z2))) -> c67(ACTIVE(s(active(U71(mark(z0), z1, z2)))), S(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(s(U72(z0, z1, z2))) -> c67(ACTIVE(s(active(U72(mark(z0), z1, z2)))), S(mark(U72(z0, z1, z2))), MARK(U72(z0, z1, z2))) MARK(s(x(z0, z1))) -> c67(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(s(z0)) -> c67(S(mark(z0)), MARK(z0)) MARK(plus(z0, x1)) -> c68(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(plus(x0, z1)) -> c68(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(plus(x0, U11(z0, z1))) -> c68(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1)))), PLUS(mark(x0), mark(U11(z0, z1))), MARK(x0), MARK(U11(z0, z1))) MARK(plus(x0, tt)) -> c68(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt)) MARK(plus(x0, U12(z0))) -> c68(ACTIVE(plus(mark(x0), active(U12(mark(z0))))), PLUS(mark(x0), mark(U12(z0))), MARK(x0), MARK(U12(z0))) MARK(plus(x0, isNat(z0))) -> c68(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0))) MARK(plus(x0, U21(z0))) -> c68(ACTIVE(plus(mark(x0), active(U21(mark(z0))))), PLUS(mark(x0), mark(U21(z0))), MARK(x0), MARK(U21(z0))) MARK(plus(x0, U31(z0, z1))) -> c68(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1))) MARK(plus(x0, U32(z0))) -> c68(ACTIVE(plus(mark(x0), active(U32(mark(z0))))), PLUS(mark(x0), mark(U32(z0))), MARK(x0), MARK(U32(z0))) MARK(plus(x0, U41(z0, z1))) -> c68(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1)))), PLUS(mark(x0), mark(U41(z0, z1))), MARK(x0), MARK(U41(z0, z1))) MARK(plus(x0, U51(z0, z1, z2))) -> c68(ACTIVE(plus(mark(x0), active(U51(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U51(z0, z1, z2))), MARK(x0), MARK(U51(z0, z1, z2))) MARK(plus(x0, U52(z0, z1, z2))) -> c68(ACTIVE(plus(mark(x0), active(U52(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U52(z0, z1, z2))), MARK(x0), MARK(U52(z0, z1, z2))) MARK(plus(x0, s(z0))) -> c68(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(plus(x0, plus(z0, z1))) -> c68(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1))) MARK(plus(x0, U61(z0))) -> c68(ACTIVE(plus(mark(x0), active(U61(mark(z0))))), PLUS(mark(x0), mark(U61(z0))), MARK(x0), MARK(U61(z0))) MARK(plus(x0, 0)) -> c68(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0)) MARK(plus(x0, U71(z0, z1, z2))) -> c68(ACTIVE(plus(mark(x0), active(U71(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U71(z0, z1, z2))), MARK(x0), MARK(U71(z0, z1, z2))) MARK(plus(x0, U72(z0, z1, z2))) -> c68(ACTIVE(plus(mark(x0), active(U72(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U72(z0, z1, z2))), MARK(x0), MARK(U72(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c68(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1))) MARK(plus(U11(z0, z1), x1)) -> c68(ACTIVE(plus(active(U11(mark(z0), z1)), mark(x1))), PLUS(mark(U11(z0, z1)), mark(x1)), MARK(U11(z0, z1)), MARK(x1)) MARK(plus(tt, x1)) -> c68(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1)) MARK(plus(U12(z0), x1)) -> c68(ACTIVE(plus(active(U12(mark(z0))), mark(x1))), PLUS(mark(U12(z0)), mark(x1)), MARK(U12(z0)), MARK(x1)) MARK(plus(isNat(z0), x1)) -> c68(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1)) MARK(plus(U21(z0), x1)) -> c68(ACTIVE(plus(active(U21(mark(z0))), mark(x1))), PLUS(mark(U21(z0)), mark(x1)), MARK(U21(z0)), MARK(x1)) MARK(plus(U31(z0, z1), x1)) -> c68(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1)) MARK(plus(U32(z0), x1)) -> c68(ACTIVE(plus(active(U32(mark(z0))), mark(x1))), PLUS(mark(U32(z0)), mark(x1)), MARK(U32(z0)), MARK(x1)) MARK(plus(U41(z0, z1), x1)) -> c68(ACTIVE(plus(active(U41(mark(z0), z1)), mark(x1))), PLUS(mark(U41(z0, z1)), mark(x1)), MARK(U41(z0, z1)), MARK(x1)) MARK(plus(U51(z0, z1, z2), x1)) -> c68(ACTIVE(plus(active(U51(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U51(z0, z1, z2)), mark(x1)), MARK(U51(z0, z1, z2)), MARK(x1)) MARK(plus(U52(z0, z1, z2), x1)) -> c68(ACTIVE(plus(active(U52(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U52(z0, z1, z2)), mark(x1)), MARK(U52(z0, z1, z2)), MARK(x1)) MARK(plus(s(z0), x1)) -> c68(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c68(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1)) MARK(plus(U61(z0), x1)) -> c68(ACTIVE(plus(active(U61(mark(z0))), mark(x1))), PLUS(mark(U61(z0)), mark(x1)), MARK(U61(z0)), MARK(x1)) MARK(plus(0, x1)) -> c68(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1)) MARK(plus(U71(z0, z1, z2), x1)) -> c68(ACTIVE(plus(active(U71(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U71(z0, z1, z2)), mark(x1)), MARK(U71(z0, z1, z2)), MARK(x1)) MARK(plus(U72(z0, z1, z2), x1)) -> c68(ACTIVE(plus(active(U72(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U72(z0, z1, z2)), mark(x1)), MARK(U72(z0, z1, z2)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c68(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1)) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, U11_2, U12_1, isNat_1, U21_1, U31_2, U32_1, U41_2, U51_3, U52_3, s_1, plus_2, U61_1, U71_3, U72_3, x_2 Defined Pair Symbols: ACTIVE_1, MARK_1, U11'_2, U12'_1, ISNAT_1, U21'_1, U31'_2, U32'_1, U41'_2, U51'_3, U52'_3, S_1, PLUS_2, U61'_1, U71'_3, U72'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_2, ENCODE_MARK_1, ENCODE_U12_1, ENCODE_ISNAT_1, ENCODE_U21_1, ENCODE_U31_2, ENCODE_U32_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_U52_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_U72_3, ENCODE_X_2, ENCARG_1 Compound Symbols: c39_1, c40_1, c42_1, c43_1, c44_3, c46_1, c47_3, c49_1, c50_3, c52_3, c54_3, c56_3, c60_2, c69_3, c71_3, c72_3, c73_4, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, 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, c38_2, c41_2, c45_2, c48_2, c51_2, c53_2, c55_2, c58, c70, c_1, c2_2, c3_2, c3_1, c4_3, c4_2, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_4, c12_3, c13_2, c14_3, c14_2, c15_2, c16_4, c16_3, c17_4, c17_3, c18_3, c18_2, c57_3, c57_1, c59_3, c61_3, c62_3, c62_1, c63_3, c64_3, c64_1, c65_3, c65_1, c66_3, c66_1, c67_3, c67_2, c68_4