/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- KILLED proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 245 ms] (4) CpxRelTRS (5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) typed CpxTrs (9) OrderProof [LOWER BOUND(ID), 1 ms] (10) typed CpxTrs (11) RewriteLemmaProof [LOWER BOUND(ID), 4431 ms] (12) BOUNDS(1, INF) (13) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (14) TRS for Loop Detection (15) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (16) CpxTRS (17) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 0 ms] (24) CpxTypedWeightedCompleteTrs (25) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 8 ms] (26) CpxRNTS (27) CompletionProof [UPPER BOUND(ID), 0 ms] (28) CpxTypedWeightedCompleteTrs (29) NarrowingProof [BOTH BOUNDS(ID, ID), 657 ms] (30) CpxTypedWeightedCompleteTrs (31) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 4 ms] (32) CpxRNTS (33) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms] (36) CdtProblem (37) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (38) CdtProblem (39) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 24 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (48) CdtProblem (49) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (52) CdtProblem (53) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (56) CdtProblem (57) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (58) CdtProblem (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (60) CdtProblem (61) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (62) CdtProblem (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (64) CdtProblem (65) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (66) CdtProblem (67) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (68) CdtProblem (69) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (70) CdtProblem (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (72) CdtProblem (73) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 3 ms] (74) CdtProblem (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (76) CdtProblem (77) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (78) CdtProblem (79) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (80) CdtProblem (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4 ms] (82) CdtProblem (83) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 4 ms] (84) CdtProblem (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 16 ms] (86) CdtProblem (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (88) CdtProblem (89) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (90) CdtProblem (91) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (92) CdtProblem (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (94) CdtProblem (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (96) CdtProblem (97) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (98) CdtProblem (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (100) CdtProblem (101) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 20 ms] (102) CdtProblem (103) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (104) CdtProblem (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (106) CdtProblem (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (108) CdtProblem (109) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (110) CdtProblem (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (112) CdtProblem (113) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (114) CdtProblem (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (116) CdtProblem (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (118) CdtProblem (119) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (120) CdtProblem (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (122) CdtProblem (123) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (124) CdtProblem (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (126) CdtProblem (127) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (128) CdtProblem (129) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 10 ms] (130) CdtProblem (131) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (132) CdtProblem (133) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7 ms] (134) CdtProblem (135) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (136) CdtProblem (137) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (138) CdtProblem (139) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 9 ms] (140) CdtProblem (141) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 4 ms] (142) CdtProblem (143) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (144) CdtProblem (145) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (146) CdtProblem (147) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 99 ms] (148) CdtProblem (149) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (150) CdtProblem (151) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 135 ms] (152) CdtProblem (153) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (154) CdtProblem (155) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 71 ms] (156) CdtProblem (157) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (158) CdtProblem (159) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 69 ms] (160) CdtProblem (161) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 9 ms] (162) CdtProblem (163) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 186 ms] (164) CdtProblem (165) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 7 ms] (166) CdtProblem (167) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 143 ms] (168) CdtProblem (169) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 18 ms] (170) CdtProblem (171) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 236 ms] (172) CdtProblem (173) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 8 ms] (174) CdtProblem (175) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 249 ms] (176) CdtProblem (177) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 32 ms] (178) 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(app(nil, YS)) -> mark(YS) active(app(cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) active(from(X)) -> mark(cons(X, from(s(X)))) active(zWadr(nil, YS)) -> mark(nil) active(zWadr(XS, nil)) -> mark(nil) active(zWadr(cons(X, XS), cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) active(prefix(L)) -> mark(cons(nil, zWadr(L, prefix(L)))) mark(app(X1, X2)) -> active(app(mark(X1), mark(X2))) mark(nil) -> active(nil) mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1), X2) -> app(X1, X2) app(X1, mark(X2)) -> app(X1, X2) app(active(X1), X2) -> app(X1, X2) app(X1, active(X2)) -> app(X1, X2) cons(mark(X1), X2) -> cons(X1, X2) cons(X1, mark(X2)) -> cons(X1, X2) cons(active(X1), X2) -> cons(X1, X2) cons(X1, active(X2)) -> cons(X1, X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1), X2) -> zWadr(X1, X2) zWadr(X1, mark(X2)) -> zWadr(X1, X2) zWadr(active(X1), X2) -> zWadr(X1, X2) zWadr(X1, active(X2)) -> zWadr(X1, X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(nil) -> nil encArg(cons_active(x_1)) -> active(encArg(x_1)) encArg(cons_mark(x_1)) -> mark(encArg(x_1)) encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) encArg(cons_from(x_1)) -> from(encArg(x_1)) encArg(cons_s(x_1)) -> s(encArg(x_1)) encArg(cons_zWadr(x_1, x_2)) -> zWadr(encArg(x_1), encArg(x_2)) encArg(cons_prefix(x_1)) -> prefix(encArg(x_1)) encode_active(x_1) -> active(encArg(x_1)) encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) encode_nil -> nil encode_mark(x_1) -> mark(encArg(x_1)) encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) encode_from(x_1) -> from(encArg(x_1)) encode_s(x_1) -> s(encArg(x_1)) encode_zWadr(x_1, x_2) -> zWadr(encArg(x_1), encArg(x_2)) encode_prefix(x_1) -> prefix(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: active(app(nil, YS)) -> mark(YS) active(app(cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) active(from(X)) -> mark(cons(X, from(s(X)))) active(zWadr(nil, YS)) -> mark(nil) active(zWadr(XS, nil)) -> mark(nil) active(zWadr(cons(X, XS), cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) active(prefix(L)) -> mark(cons(nil, zWadr(L, prefix(L)))) mark(app(X1, X2)) -> active(app(mark(X1), mark(X2))) mark(nil) -> active(nil) mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1), X2) -> app(X1, X2) app(X1, mark(X2)) -> app(X1, X2) app(active(X1), X2) -> app(X1, X2) app(X1, active(X2)) -> app(X1, X2) cons(mark(X1), X2) -> cons(X1, X2) cons(X1, mark(X2)) -> cons(X1, X2) cons(active(X1), X2) -> cons(X1, X2) cons(X1, active(X2)) -> cons(X1, X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1), X2) -> zWadr(X1, X2) zWadr(X1, mark(X2)) -> zWadr(X1, X2) zWadr(active(X1), X2) -> zWadr(X1, X2) zWadr(X1, active(X2)) -> zWadr(X1, X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) The (relative) TRS S consists of the following rules: encArg(nil) -> nil encArg(cons_active(x_1)) -> active(encArg(x_1)) encArg(cons_mark(x_1)) -> mark(encArg(x_1)) encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) encArg(cons_from(x_1)) -> from(encArg(x_1)) encArg(cons_s(x_1)) -> s(encArg(x_1)) encArg(cons_zWadr(x_1, x_2)) -> zWadr(encArg(x_1), encArg(x_2)) encArg(cons_prefix(x_1)) -> prefix(encArg(x_1)) encode_active(x_1) -> active(encArg(x_1)) encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) encode_nil -> nil encode_mark(x_1) -> mark(encArg(x_1)) encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) encode_from(x_1) -> from(encArg(x_1)) encode_s(x_1) -> s(encArg(x_1)) encode_zWadr(x_1, x_2) -> zWadr(encArg(x_1), encArg(x_2)) encode_prefix(x_1) -> prefix(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: active(app(nil, YS)) -> mark(YS) active(app(cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) active(from(X)) -> mark(cons(X, from(s(X)))) active(zWadr(nil, YS)) -> mark(nil) active(zWadr(XS, nil)) -> mark(nil) active(zWadr(cons(X, XS), cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) active(prefix(L)) -> mark(cons(nil, zWadr(L, prefix(L)))) mark(app(X1, X2)) -> active(app(mark(X1), mark(X2))) mark(nil) -> active(nil) mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1), X2) -> app(X1, X2) app(X1, mark(X2)) -> app(X1, X2) app(active(X1), X2) -> app(X1, X2) app(X1, active(X2)) -> app(X1, X2) cons(mark(X1), X2) -> cons(X1, X2) cons(X1, mark(X2)) -> cons(X1, X2) cons(active(X1), X2) -> cons(X1, X2) cons(X1, active(X2)) -> cons(X1, X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1), X2) -> zWadr(X1, X2) zWadr(X1, mark(X2)) -> zWadr(X1, X2) zWadr(active(X1), X2) -> zWadr(X1, X2) zWadr(X1, active(X2)) -> zWadr(X1, X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) The (relative) TRS S consists of the following rules: encArg(nil) -> nil encArg(cons_active(x_1)) -> active(encArg(x_1)) encArg(cons_mark(x_1)) -> mark(encArg(x_1)) encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) encArg(cons_from(x_1)) -> from(encArg(x_1)) encArg(cons_s(x_1)) -> s(encArg(x_1)) encArg(cons_zWadr(x_1, x_2)) -> zWadr(encArg(x_1), encArg(x_2)) encArg(cons_prefix(x_1)) -> prefix(encArg(x_1)) encode_active(x_1) -> active(encArg(x_1)) encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) encode_nil -> nil encode_mark(x_1) -> mark(encArg(x_1)) encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) encode_from(x_1) -> from(encArg(x_1)) encode_s(x_1) -> s(encArg(x_1)) encode_zWadr(x_1, x_2) -> zWadr(encArg(x_1), encArg(x_2)) encode_prefix(x_1) -> prefix(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (5) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: active(app(nil, YS)) -> mark(YS) active(app(cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) active(from(X)) -> mark(cons(X, from(s(X)))) active(zWadr(nil, YS)) -> mark(nil) active(zWadr(XS, nil)) -> mark(nil) active(zWadr(cons(X, XS), cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) active(prefix(L)) -> mark(cons(nil, zWadr(L, prefix(L)))) mark(app(X1, X2)) -> active(app(mark(X1), mark(X2))) mark(nil) -> active(nil) mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1), X2) -> app(X1, X2) app(X1, mark(X2)) -> app(X1, X2) app(active(X1), X2) -> app(X1, X2) app(X1, active(X2)) -> app(X1, X2) cons(mark(X1), X2) -> cons(X1, X2) cons(X1, mark(X2)) -> cons(X1, X2) cons(active(X1), X2) -> cons(X1, X2) cons(X1, active(X2)) -> cons(X1, X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1), X2) -> zWadr(X1, X2) zWadr(X1, mark(X2)) -> zWadr(X1, X2) zWadr(active(X1), X2) -> zWadr(X1, X2) zWadr(X1, active(X2)) -> zWadr(X1, X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) The (relative) TRS S consists of the following rules: encArg(nil) -> nil encArg(cons_active(x_1)) -> active(encArg(x_1)) encArg(cons_mark(x_1)) -> mark(encArg(x_1)) encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) encArg(cons_from(x_1)) -> from(encArg(x_1)) encArg(cons_s(x_1)) -> s(encArg(x_1)) encArg(cons_zWadr(x_1, x_2)) -> zWadr(encArg(x_1), encArg(x_2)) encArg(cons_prefix(x_1)) -> prefix(encArg(x_1)) encode_active(x_1) -> active(encArg(x_1)) encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) encode_nil -> nil encode_mark(x_1) -> mark(encArg(x_1)) encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) encode_from(x_1) -> from(encArg(x_1)) encode_s(x_1) -> s(encArg(x_1)) encode_zWadr(x_1, x_2) -> zWadr(encArg(x_1), encArg(x_2)) encode_prefix(x_1) -> prefix(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (7) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (8) Obligation: Innermost TRS: Rules: active(app(nil, YS)) -> mark(YS) active(app(cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) active(from(X)) -> mark(cons(X, from(s(X)))) active(zWadr(nil, YS)) -> mark(nil) active(zWadr(XS, nil)) -> mark(nil) active(zWadr(cons(X, XS), cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) active(prefix(L)) -> mark(cons(nil, zWadr(L, prefix(L)))) mark(app(X1, X2)) -> active(app(mark(X1), mark(X2))) mark(nil) -> active(nil) mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1), X2) -> app(X1, X2) app(X1, mark(X2)) -> app(X1, X2) app(active(X1), X2) -> app(X1, X2) app(X1, active(X2)) -> app(X1, X2) cons(mark(X1), X2) -> cons(X1, X2) cons(X1, mark(X2)) -> cons(X1, X2) cons(active(X1), X2) -> cons(X1, X2) cons(X1, active(X2)) -> cons(X1, X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1), X2) -> zWadr(X1, X2) zWadr(X1, mark(X2)) -> zWadr(X1, X2) zWadr(active(X1), X2) -> zWadr(X1, X2) zWadr(X1, active(X2)) -> zWadr(X1, X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) encArg(nil) -> nil encArg(cons_active(x_1)) -> active(encArg(x_1)) encArg(cons_mark(x_1)) -> mark(encArg(x_1)) encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) encArg(cons_from(x_1)) -> from(encArg(x_1)) encArg(cons_s(x_1)) -> s(encArg(x_1)) encArg(cons_zWadr(x_1, x_2)) -> zWadr(encArg(x_1), encArg(x_2)) encArg(cons_prefix(x_1)) -> prefix(encArg(x_1)) encode_active(x_1) -> active(encArg(x_1)) encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) encode_nil -> nil encode_mark(x_1) -> mark(encArg(x_1)) encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) encode_from(x_1) -> from(encArg(x_1)) encode_s(x_1) -> s(encArg(x_1)) encode_zWadr(x_1, x_2) -> zWadr(encArg(x_1), encArg(x_2)) encode_prefix(x_1) -> prefix(encArg(x_1)) Types: active :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix app :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix nil :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix mark :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix from :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix s :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix zWadr :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix prefix :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encArg :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_active :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_mark :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_app :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_cons :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_from :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_s :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_zWadr :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_prefix :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_active :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_app :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_nil :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_mark :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_cons :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_from :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_s :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_zWadr :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_prefix :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix hole_nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix1_0 :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix gen_nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix2_0 :: Nat -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix ---------------------------------------- (9) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: active, mark, cons, app, from, s, zWadr, prefix, encArg They will be analysed ascendingly in the following order: active = mark cons < active app < active from < active s < active zWadr < active prefix < active active < encArg cons < mark app < mark from < mark s < mark zWadr < mark prefix < mark mark < encArg cons < encArg app < encArg from < encArg s < encArg zWadr < encArg prefix < encArg ---------------------------------------- (10) Obligation: Innermost TRS: Rules: active(app(nil, YS)) -> mark(YS) active(app(cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) active(from(X)) -> mark(cons(X, from(s(X)))) active(zWadr(nil, YS)) -> mark(nil) active(zWadr(XS, nil)) -> mark(nil) active(zWadr(cons(X, XS), cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) active(prefix(L)) -> mark(cons(nil, zWadr(L, prefix(L)))) mark(app(X1, X2)) -> active(app(mark(X1), mark(X2))) mark(nil) -> active(nil) mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1), X2) -> app(X1, X2) app(X1, mark(X2)) -> app(X1, X2) app(active(X1), X2) -> app(X1, X2) app(X1, active(X2)) -> app(X1, X2) cons(mark(X1), X2) -> cons(X1, X2) cons(X1, mark(X2)) -> cons(X1, X2) cons(active(X1), X2) -> cons(X1, X2) cons(X1, active(X2)) -> cons(X1, X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1), X2) -> zWadr(X1, X2) zWadr(X1, mark(X2)) -> zWadr(X1, X2) zWadr(active(X1), X2) -> zWadr(X1, X2) zWadr(X1, active(X2)) -> zWadr(X1, X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) encArg(nil) -> nil encArg(cons_active(x_1)) -> active(encArg(x_1)) encArg(cons_mark(x_1)) -> mark(encArg(x_1)) encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) encArg(cons_from(x_1)) -> from(encArg(x_1)) encArg(cons_s(x_1)) -> s(encArg(x_1)) encArg(cons_zWadr(x_1, x_2)) -> zWadr(encArg(x_1), encArg(x_2)) encArg(cons_prefix(x_1)) -> prefix(encArg(x_1)) encode_active(x_1) -> active(encArg(x_1)) encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) encode_nil -> nil encode_mark(x_1) -> mark(encArg(x_1)) encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) encode_from(x_1) -> from(encArg(x_1)) encode_s(x_1) -> s(encArg(x_1)) encode_zWadr(x_1, x_2) -> zWadr(encArg(x_1), encArg(x_2)) encode_prefix(x_1) -> prefix(encArg(x_1)) Types: active :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix app :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix nil :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix mark :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix from :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix s :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix zWadr :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix prefix :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encArg :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_active :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_mark :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_app :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_cons :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_from :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_s :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_zWadr :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_prefix :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_active :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_app :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_nil :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_mark :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_cons :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_from :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_s :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_zWadr :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_prefix :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix hole_nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix1_0 :: nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix gen_nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix2_0 :: Nat -> nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix Generator Equations: gen_nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix2_0(0) <=> nil gen_nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix2_0(+(x, 1)) <=> cons_active(gen_nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix2_0(x)) The following defined symbols remain to be analysed: cons, active, mark, app, from, s, zWadr, prefix, encArg They will be analysed ascendingly in the following order: active = mark cons < active app < active from < active s < active zWadr < active prefix < active active < encArg cons < mark app < mark from < mark s < mark zWadr < mark prefix < mark mark < encArg cons < encArg app < encArg from < encArg s < encArg zWadr < encArg prefix < encArg ---------------------------------------- (11) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: encArg(gen_nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix2_0(+(1, n1344_0))) -> *3_0, rt in Omega(0) Induction Base: encArg(gen_nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix2_0(+(1, 0))) Induction Step: encArg(gen_nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix2_0(+(1, +(n1344_0, 1)))) ->_R^Omega(0) active(encArg(gen_nil:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix2_0(+(1, n1344_0)))) ->_IH active(*3_0) We have rt in Omega(1) and sz in O(n). Thus, we have irc_R in Omega(n^0). ---------------------------------------- (12) BOUNDS(1, INF) ---------------------------------------- (13) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (14) 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(app(nil, YS)) -> mark(YS) active(app(cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) active(from(X)) -> mark(cons(X, from(s(X)))) active(zWadr(nil, YS)) -> mark(nil) active(zWadr(XS, nil)) -> mark(nil) active(zWadr(cons(X, XS), cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) active(prefix(L)) -> mark(cons(nil, zWadr(L, prefix(L)))) mark(app(X1, X2)) -> active(app(mark(X1), mark(X2))) mark(nil) -> active(nil) mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1), X2) -> app(X1, X2) app(X1, mark(X2)) -> app(X1, X2) app(active(X1), X2) -> app(X1, X2) app(X1, active(X2)) -> app(X1, X2) cons(mark(X1), X2) -> cons(X1, X2) cons(X1, mark(X2)) -> cons(X1, X2) cons(active(X1), X2) -> cons(X1, X2) cons(X1, active(X2)) -> cons(X1, X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1), X2) -> zWadr(X1, X2) zWadr(X1, mark(X2)) -> zWadr(X1, X2) zWadr(active(X1), X2) -> zWadr(X1, X2) zWadr(X1, active(X2)) -> zWadr(X1, X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) The (relative) TRS S consists of the following rules: encArg(nil) -> nil encArg(cons_active(x_1)) -> active(encArg(x_1)) encArg(cons_mark(x_1)) -> mark(encArg(x_1)) encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) encArg(cons_from(x_1)) -> from(encArg(x_1)) encArg(cons_s(x_1)) -> s(encArg(x_1)) encArg(cons_zWadr(x_1, x_2)) -> zWadr(encArg(x_1), encArg(x_2)) encArg(cons_prefix(x_1)) -> prefix(encArg(x_1)) encode_active(x_1) -> active(encArg(x_1)) encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) encode_nil -> nil encode_mark(x_1) -> mark(encArg(x_1)) encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) encode_from(x_1) -> from(encArg(x_1)) encode_s(x_1) -> s(encArg(x_1)) encode_zWadr(x_1, x_2) -> zWadr(encArg(x_1), encArg(x_2)) encode_prefix(x_1) -> prefix(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (15) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (16) 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(app(nil, YS)) -> mark(YS) active(app(cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) active(from(X)) -> mark(cons(X, from(s(X)))) active(zWadr(nil, YS)) -> mark(nil) active(zWadr(XS, nil)) -> mark(nil) active(zWadr(cons(X, XS), cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) active(prefix(L)) -> mark(cons(nil, zWadr(L, prefix(L)))) mark(app(X1, X2)) -> active(app(mark(X1), mark(X2))) mark(nil) -> active(nil) mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1), X2) -> app(X1, X2) app(X1, mark(X2)) -> app(X1, X2) app(active(X1), X2) -> app(X1, X2) app(X1, active(X2)) -> app(X1, X2) cons(mark(X1), X2) -> cons(X1, X2) cons(X1, mark(X2)) -> cons(X1, X2) cons(active(X1), X2) -> cons(X1, X2) cons(X1, active(X2)) -> cons(X1, X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1), X2) -> zWadr(X1, X2) zWadr(X1, mark(X2)) -> zWadr(X1, X2) zWadr(active(X1), X2) -> zWadr(X1, X2) zWadr(X1, active(X2)) -> zWadr(X1, X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) encArg(nil) -> nil encArg(cons_active(x_1)) -> active(encArg(x_1)) encArg(cons_mark(x_1)) -> mark(encArg(x_1)) encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) encArg(cons_from(x_1)) -> from(encArg(x_1)) encArg(cons_s(x_1)) -> s(encArg(x_1)) encArg(cons_zWadr(x_1, x_2)) -> zWadr(encArg(x_1), encArg(x_2)) encArg(cons_prefix(x_1)) -> prefix(encArg(x_1)) encode_active(x_1) -> active(encArg(x_1)) encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) encode_nil -> nil encode_mark(x_1) -> mark(encArg(x_1)) encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) encode_from(x_1) -> from(encArg(x_1)) encode_s(x_1) -> s(encArg(x_1)) encode_zWadr(x_1, x_2) -> zWadr(encArg(x_1), encArg(x_2)) encode_prefix(x_1) -> prefix(encArg(x_1)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (17) NonCtorToCtorProof (UPPER BOUND(ID)) transformed non-ctor to ctor-system ---------------------------------------- (18) 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(nil) -> active(nil) prefix(c_active(X)) -> prefix(X) mark(c_prefix(X)) -> active(prefix(mark(X))) from(c_mark(X)) -> from(X) app(X1, c_active(X2)) -> app(X1, X2) active(c_zWadr(c_cons(X, XS), c_cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) mark(c_app(X1, X2)) -> active(app(mark(X1), mark(X2))) mark(c_s(X)) -> active(s(mark(X))) zWadr(c_active(X1), X2) -> zWadr(X1, X2) mark(c_from(X)) -> active(from(mark(X))) cons(c_mark(X1), X2) -> cons(X1, X2) s(c_active(X)) -> s(X) cons(X1, c_active(X2)) -> cons(X1, X2) cons(X1, c_mark(X2)) -> cons(X1, X2) from(c_active(X)) -> from(X) mark(c_zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) app(c_active(X1), X2) -> app(X1, X2) s(c_mark(X)) -> s(X) prefix(c_mark(X)) -> prefix(X) active(c_zWadr(nil, YS)) -> mark(nil) active(c_zWadr(XS, nil)) -> mark(nil) app(X1, c_mark(X2)) -> app(X1, X2) active(c_prefix(L)) -> mark(cons(nil, zWadr(L, prefix(L)))) zWadr(X1, c_mark(X2)) -> zWadr(X1, X2) active(c_app(nil, YS)) -> mark(YS) zWadr(X1, c_active(X2)) -> zWadr(X1, X2) cons(c_active(X1), X2) -> cons(X1, X2) zWadr(c_mark(X1), X2) -> zWadr(X1, X2) mark(c_cons(X1, X2)) -> active(cons(mark(X1), X2)) active(c_from(X)) -> mark(cons(X, from(s(X)))) active(c_app(c_cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) app(c_mark(X1), X2) -> app(X1, X2) The (relative) TRS S consists of the following rules: encArg(nil) -> nil encArg(cons_active(x_1)) -> active(encArg(x_1)) encArg(cons_mark(x_1)) -> mark(encArg(x_1)) encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) encArg(cons_from(x_1)) -> from(encArg(x_1)) encArg(cons_s(x_1)) -> s(encArg(x_1)) encArg(cons_zWadr(x_1, x_2)) -> zWadr(encArg(x_1), encArg(x_2)) encArg(cons_prefix(x_1)) -> prefix(encArg(x_1)) encode_active(x_1) -> active(encArg(x_1)) encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) encode_nil -> nil encode_mark(x_1) -> mark(encArg(x_1)) encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) encode_from(x_1) -> from(encArg(x_1)) encode_s(x_1) -> s(encArg(x_1)) encode_zWadr(x_1, x_2) -> zWadr(encArg(x_1), encArg(x_2)) encode_prefix(x_1) -> prefix(encArg(x_1)) s(x0) -> c_s(x0) active(x0) -> c_active(x0) zWadr(x0, x1) -> c_zWadr(x0, x1) app(x0, x1) -> c_app(x0, x1) prefix(x0) -> c_prefix(x0) cons(x0, x1) -> c_cons(x0, x1) from(x0) -> c_from(x0) mark(x0) -> c_mark(x0) Rewrite Strategy: INNERMOST ---------------------------------------- (19) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (20) 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(nil) -> active(nil) [1] prefix(c_active(X)) -> prefix(X) [1] mark(c_prefix(X)) -> active(prefix(mark(X))) [1] from(c_mark(X)) -> from(X) [1] app(X1, c_active(X2)) -> app(X1, X2) [1] active(c_zWadr(c_cons(X, XS), c_cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) [1] mark(c_app(X1, X2)) -> active(app(mark(X1), mark(X2))) [1] mark(c_s(X)) -> active(s(mark(X))) [1] zWadr(c_active(X1), X2) -> zWadr(X1, X2) [1] mark(c_from(X)) -> active(from(mark(X))) [1] cons(c_mark(X1), X2) -> cons(X1, X2) [1] s(c_active(X)) -> s(X) [1] cons(X1, c_active(X2)) -> cons(X1, X2) [1] cons(X1, c_mark(X2)) -> cons(X1, X2) [1] from(c_active(X)) -> from(X) [1] mark(c_zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) [1] app(c_active(X1), X2) -> app(X1, X2) [1] s(c_mark(X)) -> s(X) [1] prefix(c_mark(X)) -> prefix(X) [1] active(c_zWadr(nil, YS)) -> mark(nil) [1] active(c_zWadr(XS, nil)) -> mark(nil) [1] app(X1, c_mark(X2)) -> app(X1, X2) [1] active(c_prefix(L)) -> mark(cons(nil, zWadr(L, prefix(L)))) [1] zWadr(X1, c_mark(X2)) -> zWadr(X1, X2) [1] active(c_app(nil, YS)) -> mark(YS) [1] zWadr(X1, c_active(X2)) -> zWadr(X1, X2) [1] cons(c_active(X1), X2) -> cons(X1, X2) [1] zWadr(c_mark(X1), X2) -> zWadr(X1, X2) [1] mark(c_cons(X1, X2)) -> active(cons(mark(X1), X2)) [1] active(c_from(X)) -> mark(cons(X, from(s(X)))) [1] active(c_app(c_cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) [1] app(c_mark(X1), X2) -> app(X1, X2) [1] encArg(nil) -> nil [0] encArg(cons_active(x_1)) -> active(encArg(x_1)) [0] encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0] encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) [0] encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0] encArg(cons_from(x_1)) -> from(encArg(x_1)) [0] encArg(cons_s(x_1)) -> s(encArg(x_1)) [0] encArg(cons_zWadr(x_1, x_2)) -> zWadr(encArg(x_1), encArg(x_2)) [0] encArg(cons_prefix(x_1)) -> prefix(encArg(x_1)) [0] encode_active(x_1) -> active(encArg(x_1)) [0] encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) [0] encode_nil -> nil [0] encode_mark(x_1) -> mark(encArg(x_1)) [0] encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0] encode_from(x_1) -> from(encArg(x_1)) [0] encode_s(x_1) -> s(encArg(x_1)) [0] encode_zWadr(x_1, x_2) -> zWadr(encArg(x_1), encArg(x_2)) [0] encode_prefix(x_1) -> prefix(encArg(x_1)) [0] s(x0) -> c_s(x0) [0] active(x0) -> c_active(x0) [0] zWadr(x0, x1) -> c_zWadr(x0, x1) [0] app(x0, x1) -> c_app(x0, x1) [0] prefix(x0) -> c_prefix(x0) [0] cons(x0, x1) -> c_cons(x0, x1) [0] from(x0) -> c_from(x0) [0] mark(x0) -> c_mark(x0) [0] Rewrite Strategy: INNERMOST ---------------------------------------- (21) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (22) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: mark(nil) -> active(nil) [1] prefix(c_active(X)) -> prefix(X) [1] mark(c_prefix(X)) -> active(prefix(mark(X))) [1] from(c_mark(X)) -> from(X) [1] app(X1, c_active(X2)) -> app(X1, X2) [1] active(c_zWadr(c_cons(X, XS), c_cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) [1] mark(c_app(X1, X2)) -> active(app(mark(X1), mark(X2))) [1] mark(c_s(X)) -> active(s(mark(X))) [1] zWadr(c_active(X1), X2) -> zWadr(X1, X2) [1] mark(c_from(X)) -> active(from(mark(X))) [1] cons(c_mark(X1), X2) -> cons(X1, X2) [1] s(c_active(X)) -> s(X) [1] cons(X1, c_active(X2)) -> cons(X1, X2) [1] cons(X1, c_mark(X2)) -> cons(X1, X2) [1] from(c_active(X)) -> from(X) [1] mark(c_zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) [1] app(c_active(X1), X2) -> app(X1, X2) [1] s(c_mark(X)) -> s(X) [1] prefix(c_mark(X)) -> prefix(X) [1] active(c_zWadr(nil, YS)) -> mark(nil) [1] active(c_zWadr(XS, nil)) -> mark(nil) [1] app(X1, c_mark(X2)) -> app(X1, X2) [1] active(c_prefix(L)) -> mark(cons(nil, zWadr(L, prefix(L)))) [1] zWadr(X1, c_mark(X2)) -> zWadr(X1, X2) [1] active(c_app(nil, YS)) -> mark(YS) [1] zWadr(X1, c_active(X2)) -> zWadr(X1, X2) [1] cons(c_active(X1), X2) -> cons(X1, X2) [1] zWadr(c_mark(X1), X2) -> zWadr(X1, X2) [1] mark(c_cons(X1, X2)) -> active(cons(mark(X1), X2)) [1] active(c_from(X)) -> mark(cons(X, from(s(X)))) [1] active(c_app(c_cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) [1] app(c_mark(X1), X2) -> app(X1, X2) [1] encArg(nil) -> nil [0] encArg(cons_active(x_1)) -> active(encArg(x_1)) [0] encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0] encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) [0] encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0] encArg(cons_from(x_1)) -> from(encArg(x_1)) [0] encArg(cons_s(x_1)) -> s(encArg(x_1)) [0] encArg(cons_zWadr(x_1, x_2)) -> zWadr(encArg(x_1), encArg(x_2)) [0] encArg(cons_prefix(x_1)) -> prefix(encArg(x_1)) [0] encode_active(x_1) -> active(encArg(x_1)) [0] encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) [0] encode_nil -> nil [0] encode_mark(x_1) -> mark(encArg(x_1)) [0] encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0] encode_from(x_1) -> from(encArg(x_1)) [0] encode_s(x_1) -> s(encArg(x_1)) [0] encode_zWadr(x_1, x_2) -> zWadr(encArg(x_1), encArg(x_2)) [0] encode_prefix(x_1) -> prefix(encArg(x_1)) [0] s(x0) -> c_s(x0) [0] active(x0) -> c_active(x0) [0] zWadr(x0, x1) -> c_zWadr(x0, x1) [0] app(x0, x1) -> c_app(x0, x1) [0] prefix(x0) -> c_prefix(x0) [0] cons(x0, x1) -> c_cons(x0, x1) [0] from(x0) -> c_from(x0) [0] mark(x0) -> c_mark(x0) [0] The TRS has the following type information: mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix nil :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encArg :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_nil :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix Rewrite Strategy: INNERMOST ---------------------------------------- (23) CompletionProof (UPPER BOUND(ID)) The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added: encArg(v0) -> null_encArg [0] encode_active(v0) -> null_encode_active [0] encode_app(v0, v1) -> null_encode_app [0] encode_nil -> null_encode_nil [0] encode_mark(v0) -> null_encode_mark [0] encode_cons(v0, v1) -> null_encode_cons [0] encode_from(v0) -> null_encode_from [0] encode_s(v0) -> null_encode_s [0] encode_zWadr(v0, v1) -> null_encode_zWadr [0] encode_prefix(v0) -> null_encode_prefix [0] s(v0) -> null_s [0] active(v0) -> null_active [0] zWadr(v0, v1) -> null_zWadr [0] app(v0, v1) -> null_app [0] prefix(v0) -> null_prefix [0] cons(v0, v1) -> null_cons [0] from(v0) -> null_from [0] mark(v0) -> null_mark [0] And the following fresh constants: null_encArg, null_encode_active, null_encode_app, null_encode_nil, null_encode_mark, null_encode_cons, null_encode_from, null_encode_s, null_encode_zWadr, null_encode_prefix, null_s, null_active, null_zWadr, null_app, null_prefix, null_cons, null_from, null_mark ---------------------------------------- (24) Obligation: Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: mark(nil) -> active(nil) [1] prefix(c_active(X)) -> prefix(X) [1] mark(c_prefix(X)) -> active(prefix(mark(X))) [1] from(c_mark(X)) -> from(X) [1] app(X1, c_active(X2)) -> app(X1, X2) [1] active(c_zWadr(c_cons(X, XS), c_cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) [1] mark(c_app(X1, X2)) -> active(app(mark(X1), mark(X2))) [1] mark(c_s(X)) -> active(s(mark(X))) [1] zWadr(c_active(X1), X2) -> zWadr(X1, X2) [1] mark(c_from(X)) -> active(from(mark(X))) [1] cons(c_mark(X1), X2) -> cons(X1, X2) [1] s(c_active(X)) -> s(X) [1] cons(X1, c_active(X2)) -> cons(X1, X2) [1] cons(X1, c_mark(X2)) -> cons(X1, X2) [1] from(c_active(X)) -> from(X) [1] mark(c_zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) [1] app(c_active(X1), X2) -> app(X1, X2) [1] s(c_mark(X)) -> s(X) [1] prefix(c_mark(X)) -> prefix(X) [1] active(c_zWadr(nil, YS)) -> mark(nil) [1] active(c_zWadr(XS, nil)) -> mark(nil) [1] app(X1, c_mark(X2)) -> app(X1, X2) [1] active(c_prefix(L)) -> mark(cons(nil, zWadr(L, prefix(L)))) [1] zWadr(X1, c_mark(X2)) -> zWadr(X1, X2) [1] active(c_app(nil, YS)) -> mark(YS) [1] zWadr(X1, c_active(X2)) -> zWadr(X1, X2) [1] cons(c_active(X1), X2) -> cons(X1, X2) [1] zWadr(c_mark(X1), X2) -> zWadr(X1, X2) [1] mark(c_cons(X1, X2)) -> active(cons(mark(X1), X2)) [1] active(c_from(X)) -> mark(cons(X, from(s(X)))) [1] active(c_app(c_cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) [1] app(c_mark(X1), X2) -> app(X1, X2) [1] encArg(nil) -> nil [0] encArg(cons_active(x_1)) -> active(encArg(x_1)) [0] encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0] encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) [0] encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0] encArg(cons_from(x_1)) -> from(encArg(x_1)) [0] encArg(cons_s(x_1)) -> s(encArg(x_1)) [0] encArg(cons_zWadr(x_1, x_2)) -> zWadr(encArg(x_1), encArg(x_2)) [0] encArg(cons_prefix(x_1)) -> prefix(encArg(x_1)) [0] encode_active(x_1) -> active(encArg(x_1)) [0] encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) [0] encode_nil -> nil [0] encode_mark(x_1) -> mark(encArg(x_1)) [0] encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0] encode_from(x_1) -> from(encArg(x_1)) [0] encode_s(x_1) -> s(encArg(x_1)) [0] encode_zWadr(x_1, x_2) -> zWadr(encArg(x_1), encArg(x_2)) [0] encode_prefix(x_1) -> prefix(encArg(x_1)) [0] s(x0) -> c_s(x0) [0] active(x0) -> c_active(x0) [0] zWadr(x0, x1) -> c_zWadr(x0, x1) [0] app(x0, x1) -> c_app(x0, x1) [0] prefix(x0) -> c_prefix(x0) [0] cons(x0, x1) -> c_cons(x0, x1) [0] from(x0) -> c_from(x0) [0] mark(x0) -> c_mark(x0) [0] encArg(v0) -> null_encArg [0] encode_active(v0) -> null_encode_active [0] encode_app(v0, v1) -> null_encode_app [0] encode_nil -> null_encode_nil [0] encode_mark(v0) -> null_encode_mark [0] encode_cons(v0, v1) -> null_encode_cons [0] encode_from(v0) -> null_encode_from [0] encode_s(v0) -> null_encode_s [0] encode_zWadr(v0, v1) -> null_encode_zWadr [0] encode_prefix(v0) -> null_encode_prefix [0] s(v0) -> null_s [0] active(v0) -> null_active [0] zWadr(v0, v1) -> null_zWadr [0] app(v0, v1) -> null_app [0] prefix(v0) -> null_prefix [0] cons(v0, v1) -> null_cons [0] from(v0) -> null_from [0] mark(v0) -> null_mark [0] The TRS has the following type information: mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark nil :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark c_active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark c_prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark c_mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark c_zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark c_cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark c_app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark c_s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark c_from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark encArg :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark cons_active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark cons_mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark cons_app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark cons_cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark cons_from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark cons_s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark cons_zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark cons_prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark encode_active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark encode_app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark encode_nil :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark encode_mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark encode_cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark encode_from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark encode_s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark encode_zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark encode_prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_encArg :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_encode_active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_encode_app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_encode_nil :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_encode_mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_encode_cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_encode_from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_encode_s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_encode_zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_encode_prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark null_mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix:null_encArg:null_encode_active:null_encode_app:null_encode_nil:null_encode_mark:null_encode_cons:null_encode_from:null_encode_s:null_encode_zWadr:null_encode_prefix:null_s:null_active:null_zWadr:null_app:null_prefix:null_cons:null_from:null_mark Rewrite Strategy: INNERMOST ---------------------------------------- (25) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: nil => 0 null_encArg => 0 null_encode_active => 0 null_encode_app => 0 null_encode_nil => 0 null_encode_mark => 0 null_encode_cons => 0 null_encode_from => 0 null_encode_s => 0 null_encode_zWadr => 0 null_encode_prefix => 0 null_s => 0 null_active => 0 null_zWadr => 0 null_app => 0 null_prefix => 0 null_cons => 0 null_from => 0 null_mark => 0 ---------------------------------------- (26) Obligation: Complexity RNTS consisting of the following rules: active(z) -{ 1 }-> mark(YS) :|: z = 1 + 0 + YS, YS >= 0 active(z) -{ 1 }-> mark(cons(X, from(s(X)))) :|: z = 1 + X, X >= 0 active(z) -{ 1 }-> mark(cons(X, app(XS, YS))) :|: X >= 0, YS >= 0, z = 1 + (1 + X + XS) + YS, XS >= 0 active(z) -{ 1 }-> mark(cons(app(Y, cons(X, 0)), zWadr(XS, YS))) :|: Y >= 0, X >= 0, YS >= 0, z = 1 + (1 + X + XS) + (1 + Y + YS), XS >= 0 active(z) -{ 1 }-> mark(cons(0, zWadr(L, prefix(L)))) :|: z = 1 + L, L >= 0 active(z) -{ 1 }-> mark(0) :|: z = 1 + 0 + YS, YS >= 0 active(z) -{ 1 }-> mark(0) :|: z = 1 + XS + 0, XS >= 0 active(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 active(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 app(z, z') -{ 1 }-> app(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1 app(z, z') -{ 1 }-> app(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2 app(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 app(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1 cons(z, z') -{ 1 }-> cons(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2 cons(z, z') -{ 1 }-> cons(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1 cons(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 cons(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1 encArg(z) -{ 0 }-> zWadr(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 }-> prefix(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> mark(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> from(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> cons(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> app(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> active(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 0 :|: z = 0 encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_active(z) -{ 0 }-> active(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_active(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_app(z, z') -{ 0 }-> app(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2 encode_app(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 encode_cons(z, z') -{ 0 }-> cons(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2 encode_cons(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 encode_from(z) -{ 0 }-> from(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_from(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_mark(z) -{ 0 }-> mark(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_nil -{ 0 }-> 0 :|: encode_prefix(z) -{ 0 }-> prefix(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_prefix(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_s(z) -{ 0 }-> s(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_s(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_zWadr(z, z') -{ 0 }-> zWadr(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2 encode_zWadr(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 from(z) -{ 1 }-> from(X) :|: z = 1 + X, X >= 0 from(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 from(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 mark(z) -{ 1 }-> active(zWadr(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(prefix(mark(X))) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> active(from(mark(X))) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> active(cons(mark(X1), X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> active(app(mark(X1), mark(X2))) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> active(0) :|: z = 0 mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 mark(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 prefix(z) -{ 1 }-> prefix(X) :|: z = 1 + X, X >= 0 prefix(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 prefix(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 s(z) -{ 1 }-> s(X) :|: z = 1 + X, X >= 0 s(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 s(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 zWadr(z, z') -{ 1 }-> zWadr(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2 zWadr(z, z') -{ 1 }-> zWadr(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1 zWadr(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 zWadr(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (27) 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_app_2 encode_nil encode_mark_1 encode_cons_2 encode_from_1 encode_s_1 encode_zWadr_2 encode_prefix_1 s_1 active_1 zWadr_2 app_2 prefix_1 cons_2 from_1 mark_1 Due to the following rules being added: encArg(v0) -> nil [0] encode_active(v0) -> nil [0] encode_app(v0, v1) -> nil [0] encode_nil -> nil [0] encode_mark(v0) -> nil [0] encode_cons(v0, v1) -> nil [0] encode_from(v0) -> nil [0] encode_s(v0) -> nil [0] encode_zWadr(v0, v1) -> nil [0] encode_prefix(v0) -> nil [0] s(v0) -> nil [0] active(v0) -> nil [0] zWadr(v0, v1) -> nil [0] app(v0, v1) -> nil [0] prefix(v0) -> nil [0] cons(v0, v1) -> nil [0] from(v0) -> nil [0] mark(v0) -> nil [0] And the following fresh constants: none ---------------------------------------- (28) 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(nil) -> active(nil) [1] prefix(c_active(X)) -> prefix(X) [1] mark(c_prefix(X)) -> active(prefix(mark(X))) [1] from(c_mark(X)) -> from(X) [1] app(X1, c_active(X2)) -> app(X1, X2) [1] active(c_zWadr(c_cons(X, XS), c_cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) [1] mark(c_app(X1, X2)) -> active(app(mark(X1), mark(X2))) [1] mark(c_s(X)) -> active(s(mark(X))) [1] zWadr(c_active(X1), X2) -> zWadr(X1, X2) [1] mark(c_from(X)) -> active(from(mark(X))) [1] cons(c_mark(X1), X2) -> cons(X1, X2) [1] s(c_active(X)) -> s(X) [1] cons(X1, c_active(X2)) -> cons(X1, X2) [1] cons(X1, c_mark(X2)) -> cons(X1, X2) [1] from(c_active(X)) -> from(X) [1] mark(c_zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) [1] app(c_active(X1), X2) -> app(X1, X2) [1] s(c_mark(X)) -> s(X) [1] prefix(c_mark(X)) -> prefix(X) [1] active(c_zWadr(nil, YS)) -> mark(nil) [1] active(c_zWadr(XS, nil)) -> mark(nil) [1] app(X1, c_mark(X2)) -> app(X1, X2) [1] active(c_prefix(L)) -> mark(cons(nil, zWadr(L, prefix(L)))) [1] zWadr(X1, c_mark(X2)) -> zWadr(X1, X2) [1] active(c_app(nil, YS)) -> mark(YS) [1] zWadr(X1, c_active(X2)) -> zWadr(X1, X2) [1] cons(c_active(X1), X2) -> cons(X1, X2) [1] zWadr(c_mark(X1), X2) -> zWadr(X1, X2) [1] mark(c_cons(X1, X2)) -> active(cons(mark(X1), X2)) [1] active(c_from(X)) -> mark(cons(X, from(s(X)))) [1] active(c_app(c_cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) [1] app(c_mark(X1), X2) -> app(X1, X2) [1] encArg(nil) -> nil [0] encArg(cons_active(x_1)) -> active(encArg(x_1)) [0] encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0] encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) [0] encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0] encArg(cons_from(x_1)) -> from(encArg(x_1)) [0] encArg(cons_s(x_1)) -> s(encArg(x_1)) [0] encArg(cons_zWadr(x_1, x_2)) -> zWadr(encArg(x_1), encArg(x_2)) [0] encArg(cons_prefix(x_1)) -> prefix(encArg(x_1)) [0] encode_active(x_1) -> active(encArg(x_1)) [0] encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) [0] encode_nil -> nil [0] encode_mark(x_1) -> mark(encArg(x_1)) [0] encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0] encode_from(x_1) -> from(encArg(x_1)) [0] encode_s(x_1) -> s(encArg(x_1)) [0] encode_zWadr(x_1, x_2) -> zWadr(encArg(x_1), encArg(x_2)) [0] encode_prefix(x_1) -> prefix(encArg(x_1)) [0] s(x0) -> c_s(x0) [0] active(x0) -> c_active(x0) [0] zWadr(x0, x1) -> c_zWadr(x0, x1) [0] app(x0, x1) -> c_app(x0, x1) [0] prefix(x0) -> c_prefix(x0) [0] cons(x0, x1) -> c_cons(x0, x1) [0] from(x0) -> c_from(x0) [0] mark(x0) -> c_mark(x0) [0] encArg(v0) -> nil [0] encode_active(v0) -> nil [0] encode_app(v0, v1) -> nil [0] encode_nil -> nil [0] encode_mark(v0) -> nil [0] encode_cons(v0, v1) -> nil [0] encode_from(v0) -> nil [0] encode_s(v0) -> nil [0] encode_zWadr(v0, v1) -> nil [0] encode_prefix(v0) -> nil [0] s(v0) -> nil [0] active(v0) -> nil [0] zWadr(v0, v1) -> nil [0] app(v0, v1) -> nil [0] prefix(v0) -> nil [0] cons(v0, v1) -> nil [0] from(v0) -> nil [0] mark(v0) -> nil [0] The TRS has the following type information: mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix nil :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encArg :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_nil :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix Rewrite Strategy: INNERMOST ---------------------------------------- (29) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (30) 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(nil) -> active(nil) [1] prefix(c_active(X)) -> prefix(X) [1] mark(c_prefix(nil)) -> active(prefix(active(nil))) [2] mark(c_prefix(c_prefix(X'))) -> active(prefix(active(prefix(mark(X'))))) [2] mark(c_prefix(c_app(X1', X2'))) -> active(prefix(active(app(mark(X1'), mark(X2'))))) [2] mark(c_prefix(c_s(X''))) -> active(prefix(active(s(mark(X''))))) [2] mark(c_prefix(c_from(X3))) -> active(prefix(active(from(mark(X3))))) [2] mark(c_prefix(c_zWadr(X1'', X2''))) -> active(prefix(active(zWadr(mark(X1''), mark(X2''))))) [2] mark(c_prefix(c_cons(X11, X21))) -> active(prefix(active(cons(mark(X11), X21)))) [2] mark(c_prefix(X)) -> active(prefix(c_mark(X))) [1] mark(c_prefix(X)) -> active(prefix(nil)) [1] from(c_mark(X)) -> from(X) [1] app(X1, c_active(X2)) -> app(X1, X2) [1] active(c_zWadr(c_cons(X, XS), c_cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) [1] mark(c_app(X1, X2)) -> active(app(mark(X1), mark(X2))) [1] mark(c_s(nil)) -> active(s(active(nil))) [2] mark(c_s(c_prefix(X52))) -> active(s(active(prefix(mark(X52))))) [2] mark(c_s(c_app(X142, X240))) -> active(s(active(app(mark(X142), mark(X240))))) [2] mark(c_s(c_s(X53))) -> active(s(active(s(mark(X53))))) [2] mark(c_s(c_from(X54))) -> active(s(active(from(mark(X54))))) [2] mark(c_s(c_zWadr(X143, X241))) -> active(s(active(zWadr(mark(X143), mark(X241))))) [2] mark(c_s(c_cons(X144, X242))) -> active(s(active(cons(mark(X144), X242)))) [2] mark(c_s(X)) -> active(s(c_mark(X))) [1] mark(c_s(X)) -> active(s(nil)) [1] zWadr(c_active(X1), X2) -> zWadr(X1, X2) [1] mark(c_from(nil)) -> active(from(active(nil))) [2] mark(c_from(c_prefix(X55))) -> active(from(active(prefix(mark(X55))))) [2] mark(c_from(c_app(X145, X243))) -> active(from(active(app(mark(X145), mark(X243))))) [2] mark(c_from(c_s(X56))) -> active(from(active(s(mark(X56))))) [2] mark(c_from(c_from(X57))) -> active(from(active(from(mark(X57))))) [2] mark(c_from(c_zWadr(X146, X244))) -> active(from(active(zWadr(mark(X146), mark(X244))))) [2] mark(c_from(c_cons(X147, X245))) -> active(from(active(cons(mark(X147), X245)))) [2] mark(c_from(X)) -> active(from(c_mark(X))) [1] mark(c_from(X)) -> active(from(nil)) [1] cons(c_mark(X1), X2) -> cons(X1, X2) [1] s(c_active(X)) -> s(X) [1] cons(X1, c_active(X2)) -> cons(X1, X2) [1] cons(X1, c_mark(X2)) -> cons(X1, X2) [1] from(c_active(X)) -> from(X) [1] mark(c_zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) [1] app(c_active(X1), X2) -> app(X1, X2) [1] s(c_mark(X)) -> s(X) [1] prefix(c_mark(X)) -> prefix(X) [1] active(c_zWadr(nil, YS)) -> mark(nil) [1] active(c_zWadr(XS, nil)) -> mark(nil) [1] app(X1, c_mark(X2)) -> app(X1, X2) [1] active(c_prefix(c_active(X88))) -> mark(cons(nil, zWadr(c_active(X88), prefix(X88)))) [2] active(c_prefix(c_mark(X89))) -> mark(cons(nil, zWadr(c_mark(X89), prefix(X89)))) [2] active(c_prefix(L)) -> mark(cons(nil, zWadr(L, c_prefix(L)))) [1] active(c_prefix(L)) -> mark(cons(nil, zWadr(L, nil))) [1] zWadr(X1, c_mark(X2)) -> zWadr(X1, X2) [1] active(c_app(nil, YS)) -> mark(YS) [1] zWadr(X1, c_active(X2)) -> zWadr(X1, X2) [1] cons(c_active(X1), X2) -> cons(X1, X2) [1] zWadr(c_mark(X1), X2) -> zWadr(X1, X2) [1] mark(c_cons(nil, X2)) -> active(cons(active(nil), X2)) [2] mark(c_cons(c_prefix(X90), X2)) -> active(cons(active(prefix(mark(X90))), X2)) [2] mark(c_cons(c_app(X178, X276), X2)) -> active(cons(active(app(mark(X178), mark(X276))), X2)) [2] mark(c_cons(c_s(X91), X2)) -> active(cons(active(s(mark(X91))), X2)) [2] mark(c_cons(c_from(X92), X2)) -> active(cons(active(from(mark(X92))), X2)) [2] mark(c_cons(c_zWadr(X179, X277), X2)) -> active(cons(active(zWadr(mark(X179), mark(X277))), X2)) [2] mark(c_cons(c_cons(X180, X278), X2)) -> active(cons(active(cons(mark(X180), X278)), X2)) [2] mark(c_cons(X1, X2)) -> active(cons(c_mark(X1), X2)) [1] mark(c_cons(X1, X2)) -> active(cons(nil, X2)) [1] active(c_from(c_active(X93))) -> mark(cons(c_active(X93), from(s(X93)))) [2] active(c_from(c_mark(X94))) -> mark(cons(c_mark(X94), from(s(X94)))) [2] active(c_from(X)) -> mark(cons(X, from(c_s(X)))) [1] active(c_from(X)) -> mark(cons(X, from(nil))) [1] active(c_app(c_cons(X, XS), c_active(X279))) -> mark(cons(X, app(XS, X279))) [2] active(c_app(c_cons(X, c_active(X181)), YS)) -> mark(cons(X, app(X181, YS))) [2] active(c_app(c_cons(X, XS), c_mark(X280))) -> mark(cons(X, app(XS, X280))) [2] active(c_app(c_cons(X, c_mark(X182)), YS)) -> mark(cons(X, app(X182, YS))) [2] active(c_app(c_cons(X, XS), YS)) -> mark(cons(X, c_app(XS, YS))) [1] active(c_app(c_cons(X, XS), YS)) -> mark(cons(X, nil)) [1] app(c_mark(X1), X2) -> app(X1, X2) [1] encArg(nil) -> nil [0] encArg(cons_active(nil)) -> active(nil) [0] encArg(cons_active(cons_active(x_1'))) -> active(active(encArg(x_1'))) [0] encArg(cons_active(cons_mark(x_1''))) -> active(mark(encArg(x_1''))) [0] encArg(cons_active(cons_app(x_11, x_2'))) -> active(app(encArg(x_11), encArg(x_2'))) [0] encArg(cons_active(cons_cons(x_12, x_2''))) -> active(cons(encArg(x_12), encArg(x_2''))) [0] encArg(cons_active(cons_from(x_13))) -> active(from(encArg(x_13))) [0] encArg(cons_active(cons_s(x_14))) -> active(s(encArg(x_14))) [0] encArg(cons_active(cons_zWadr(x_15, x_21))) -> active(zWadr(encArg(x_15), encArg(x_21))) [0] encArg(cons_active(cons_prefix(x_16))) -> active(prefix(encArg(x_16))) [0] encArg(cons_active(x_1)) -> active(nil) [0] encArg(cons_mark(nil)) -> mark(nil) [0] encArg(cons_mark(cons_active(x_17))) -> mark(active(encArg(x_17))) [0] encArg(cons_mark(cons_mark(x_18))) -> mark(mark(encArg(x_18))) [0] encArg(cons_mark(cons_app(x_19, x_22))) -> mark(app(encArg(x_19), encArg(x_22))) [0] encArg(cons_mark(cons_cons(x_110, x_23))) -> mark(cons(encArg(x_110), encArg(x_23))) [0] encArg(cons_mark(cons_from(x_111))) -> mark(from(encArg(x_111))) [0] encArg(cons_mark(cons_s(x_112))) -> mark(s(encArg(x_112))) [0] encArg(cons_mark(cons_zWadr(x_113, x_24))) -> mark(zWadr(encArg(x_113), encArg(x_24))) [0] encArg(cons_mark(cons_prefix(x_114))) -> mark(prefix(encArg(x_114))) [0] encArg(cons_mark(x_1)) -> mark(nil) [0] encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) [0] encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0] encArg(cons_from(nil)) -> from(nil) [0] encArg(cons_from(cons_active(x_1191))) -> from(active(encArg(x_1191))) [0] encArg(cons_from(cons_mark(x_1192))) -> from(mark(encArg(x_1192))) [0] encArg(cons_from(cons_app(x_1193, x_271))) -> from(app(encArg(x_1193), encArg(x_271))) [0] encArg(cons_from(cons_cons(x_1194, x_272))) -> from(cons(encArg(x_1194), encArg(x_272))) [0] encArg(cons_from(cons_from(x_1195))) -> from(from(encArg(x_1195))) [0] encArg(cons_from(cons_s(x_1196))) -> from(s(encArg(x_1196))) [0] encArg(cons_from(cons_zWadr(x_1197, x_273))) -> from(zWadr(encArg(x_1197), encArg(x_273))) [0] encArg(cons_from(cons_prefix(x_1198))) -> from(prefix(encArg(x_1198))) [0] encArg(cons_from(x_1)) -> from(nil) [0] encArg(cons_s(nil)) -> s(nil) [0] encArg(cons_s(cons_active(x_1199))) -> s(active(encArg(x_1199))) [0] encArg(cons_s(cons_mark(x_1200))) -> s(mark(encArg(x_1200))) [0] encArg(cons_s(cons_app(x_1201, x_274))) -> s(app(encArg(x_1201), encArg(x_274))) [0] encArg(cons_s(cons_cons(x_1202, x_275))) -> s(cons(encArg(x_1202), encArg(x_275))) [0] encArg(cons_s(cons_from(x_1203))) -> s(from(encArg(x_1203))) [0] encArg(cons_s(cons_s(x_1204))) -> s(s(encArg(x_1204))) [0] encArg(cons_s(cons_zWadr(x_1205, x_276))) -> s(zWadr(encArg(x_1205), encArg(x_276))) [0] encArg(cons_s(cons_prefix(x_1206))) -> s(prefix(encArg(x_1206))) [0] encArg(cons_s(x_1)) -> s(nil) [0] encArg(cons_zWadr(x_1, x_2)) -> zWadr(encArg(x_1), encArg(x_2)) [0] encArg(cons_prefix(nil)) -> prefix(nil) [0] encArg(cons_prefix(cons_active(x_1295))) -> prefix(active(encArg(x_1295))) [0] encArg(cons_prefix(cons_mark(x_1296))) -> prefix(mark(encArg(x_1296))) [0] encArg(cons_prefix(cons_app(x_1297, x_2110))) -> prefix(app(encArg(x_1297), encArg(x_2110))) [0] encArg(cons_prefix(cons_cons(x_1298, x_2111))) -> prefix(cons(encArg(x_1298), encArg(x_2111))) [0] encArg(cons_prefix(cons_from(x_1299))) -> prefix(from(encArg(x_1299))) [0] encArg(cons_prefix(cons_s(x_1300))) -> prefix(s(encArg(x_1300))) [0] encArg(cons_prefix(cons_zWadr(x_1301, x_2112))) -> prefix(zWadr(encArg(x_1301), encArg(x_2112))) [0] encArg(cons_prefix(cons_prefix(x_1302))) -> prefix(prefix(encArg(x_1302))) [0] encArg(cons_prefix(x_1)) -> prefix(nil) [0] encode_active(nil) -> active(nil) [0] encode_active(cons_active(x_1303)) -> active(active(encArg(x_1303))) [0] encode_active(cons_mark(x_1304)) -> active(mark(encArg(x_1304))) [0] encode_active(cons_app(x_1305, x_2113)) -> active(app(encArg(x_1305), encArg(x_2113))) [0] encode_active(cons_cons(x_1306, x_2114)) -> active(cons(encArg(x_1306), encArg(x_2114))) [0] encode_active(cons_from(x_1307)) -> active(from(encArg(x_1307))) [0] encode_active(cons_s(x_1308)) -> active(s(encArg(x_1308))) [0] encode_active(cons_zWadr(x_1309, x_2115)) -> active(zWadr(encArg(x_1309), encArg(x_2115))) [0] encode_active(cons_prefix(x_1310)) -> active(prefix(encArg(x_1310))) [0] encode_active(x_1) -> active(nil) [0] encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) [0] encode_nil -> nil [0] encode_mark(nil) -> mark(nil) [0] encode_mark(cons_active(x_1399)) -> mark(active(encArg(x_1399))) [0] encode_mark(cons_mark(x_1400)) -> mark(mark(encArg(x_1400))) [0] encode_mark(cons_app(x_1401, x_2149)) -> mark(app(encArg(x_1401), encArg(x_2149))) [0] encode_mark(cons_cons(x_1402, x_2150)) -> mark(cons(encArg(x_1402), encArg(x_2150))) [0] encode_mark(cons_from(x_1403)) -> mark(from(encArg(x_1403))) [0] encode_mark(cons_s(x_1404)) -> mark(s(encArg(x_1404))) [0] encode_mark(cons_zWadr(x_1405, x_2151)) -> mark(zWadr(encArg(x_1405), encArg(x_2151))) [0] encode_mark(cons_prefix(x_1406)) -> mark(prefix(encArg(x_1406))) [0] encode_mark(x_1) -> mark(nil) [0] encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0] encode_from(nil) -> from(nil) [0] encode_from(cons_active(x_1495)) -> from(active(encArg(x_1495))) [0] encode_from(cons_mark(x_1496)) -> from(mark(encArg(x_1496))) [0] encode_from(cons_app(x_1497, x_2185)) -> from(app(encArg(x_1497), encArg(x_2185))) [0] encode_from(cons_cons(x_1498, x_2186)) -> from(cons(encArg(x_1498), encArg(x_2186))) [0] encode_from(cons_from(x_1499)) -> from(from(encArg(x_1499))) [0] encode_from(cons_s(x_1500)) -> from(s(encArg(x_1500))) [0] encode_from(cons_zWadr(x_1501, x_2187)) -> from(zWadr(encArg(x_1501), encArg(x_2187))) [0] encode_from(cons_prefix(x_1502)) -> from(prefix(encArg(x_1502))) [0] encode_from(x_1) -> from(nil) [0] encode_s(nil) -> s(nil) [0] encode_s(cons_active(x_1503)) -> s(active(encArg(x_1503))) [0] encode_s(cons_mark(x_1504)) -> s(mark(encArg(x_1504))) [0] encode_s(cons_app(x_1505, x_2188)) -> s(app(encArg(x_1505), encArg(x_2188))) [0] encode_s(cons_cons(x_1506, x_2189)) -> s(cons(encArg(x_1506), encArg(x_2189))) [0] encode_s(cons_from(x_1507)) -> s(from(encArg(x_1507))) [0] encode_s(cons_s(x_1508)) -> s(s(encArg(x_1508))) [0] encode_s(cons_zWadr(x_1509, x_2190)) -> s(zWadr(encArg(x_1509), encArg(x_2190))) [0] encode_s(cons_prefix(x_1510)) -> s(prefix(encArg(x_1510))) [0] encode_s(x_1) -> s(nil) [0] encode_zWadr(x_1, x_2) -> zWadr(encArg(x_1), encArg(x_2)) [0] encode_prefix(nil) -> prefix(nil) [0] encode_prefix(cons_active(x_1599)) -> prefix(active(encArg(x_1599))) [0] encode_prefix(cons_mark(x_1600)) -> prefix(mark(encArg(x_1600))) [0] encode_prefix(cons_app(x_1601, x_2224)) -> prefix(app(encArg(x_1601), encArg(x_2224))) [0] encode_prefix(cons_cons(x_1602, x_2225)) -> prefix(cons(encArg(x_1602), encArg(x_2225))) [0] encode_prefix(cons_from(x_1603)) -> prefix(from(encArg(x_1603))) [0] encode_prefix(cons_s(x_1604)) -> prefix(s(encArg(x_1604))) [0] encode_prefix(cons_zWadr(x_1605, x_2226)) -> prefix(zWadr(encArg(x_1605), encArg(x_2226))) [0] encode_prefix(cons_prefix(x_1606)) -> prefix(prefix(encArg(x_1606))) [0] encode_prefix(x_1) -> prefix(nil) [0] s(x0) -> c_s(x0) [0] active(x0) -> c_active(x0) [0] zWadr(x0, x1) -> c_zWadr(x0, x1) [0] app(x0, x1) -> c_app(x0, x1) [0] prefix(x0) -> c_prefix(x0) [0] cons(x0, x1) -> c_cons(x0, x1) [0] from(x0) -> c_from(x0) [0] mark(x0) -> c_mark(x0) [0] encArg(v0) -> nil [0] encode_active(v0) -> nil [0] encode_app(v0, v1) -> nil [0] encode_nil -> nil [0] encode_mark(v0) -> nil [0] encode_cons(v0, v1) -> nil [0] encode_from(v0) -> nil [0] encode_s(v0) -> nil [0] encode_zWadr(v0, v1) -> nil [0] encode_prefix(v0) -> nil [0] s(v0) -> nil [0] active(v0) -> nil [0] zWadr(v0, v1) -> nil [0] app(v0, v1) -> nil [0] prefix(v0) -> nil [0] cons(v0, v1) -> nil [0] from(v0) -> nil [0] mark(v0) -> nil [0] The TRS has the following type information: mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix nil :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix c_from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encArg :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix cons_prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_active :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_app :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_nil :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_mark :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_cons :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_from :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_s :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_zWadr :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix encode_prefix :: nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix -> nil:c_active:c_prefix:c_mark:c_cons:c_zWadr:c_app:c_s:c_from:cons_active:cons_mark:cons_app:cons_cons:cons_from:cons_s:cons_zWadr:cons_prefix Rewrite Strategy: INNERMOST ---------------------------------------- (31) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: nil => 0 ---------------------------------------- (32) Obligation: Complexity RNTS consisting of the following rules: active(z) -{ 1 }-> mark(YS) :|: z = 1 + 0 + YS, YS >= 0 active(z) -{ 1 }-> mark(cons(X, from(0))) :|: z = 1 + X, X >= 0 active(z) -{ 1 }-> mark(cons(X, from(1 + X))) :|: z = 1 + X, X >= 0 active(z) -{ 2 }-> mark(cons(X, app(X181, YS))) :|: X >= 0, X181 >= 0, YS >= 0, z = 1 + (1 + X + (1 + X181)) + YS active(z) -{ 2 }-> mark(cons(X, app(X182, YS))) :|: z = 1 + (1 + X + (1 + X182)) + YS, X >= 0, YS >= 0, X182 >= 0 active(z) -{ 2 }-> mark(cons(X, app(XS, X279))) :|: X279 >= 0, z = 1 + (1 + X + XS) + (1 + X279), X >= 0, XS >= 0 active(z) -{ 2 }-> mark(cons(X, app(XS, X280))) :|: z = 1 + (1 + X + XS) + (1 + X280), X >= 0, X280 >= 0, XS >= 0 active(z) -{ 1 }-> mark(cons(X, 0)) :|: X >= 0, YS >= 0, z = 1 + (1 + X + XS) + YS, XS >= 0 active(z) -{ 1 }-> mark(cons(X, 1 + XS + YS)) :|: X >= 0, YS >= 0, z = 1 + (1 + X + XS) + YS, XS >= 0 active(z) -{ 1 }-> mark(cons(app(Y, cons(X, 0)), zWadr(XS, YS))) :|: Y >= 0, X >= 0, YS >= 0, z = 1 + (1 + X + XS) + (1 + Y + YS), XS >= 0 active(z) -{ 1 }-> mark(cons(0, zWadr(L, 0))) :|: z = 1 + L, L >= 0 active(z) -{ 1 }-> mark(cons(0, zWadr(L, 1 + L))) :|: z = 1 + L, L >= 0 active(z) -{ 2 }-> mark(cons(0, zWadr(1 + X88, prefix(X88)))) :|: X88 >= 0, z = 1 + (1 + X88) active(z) -{ 2 }-> mark(cons(0, zWadr(1 + X89, prefix(X89)))) :|: X89 >= 0, z = 1 + (1 + X89) active(z) -{ 2 }-> mark(cons(1 + X93, from(s(X93)))) :|: z = 1 + (1 + X93), X93 >= 0 active(z) -{ 2 }-> mark(cons(1 + X94, from(s(X94)))) :|: z = 1 + (1 + X94), X94 >= 0 active(z) -{ 1 }-> mark(0) :|: z = 1 + 0 + YS, YS >= 0 active(z) -{ 1 }-> mark(0) :|: z = 1 + XS + 0, XS >= 0 active(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 active(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 app(z, z') -{ 1 }-> app(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1 app(z, z') -{ 1 }-> app(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2 app(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 app(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1 cons(z, z') -{ 1 }-> cons(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2 cons(z, z') -{ 1 }-> cons(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1 cons(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 cons(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1 encArg(z) -{ 0 }-> zWadr(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> s(zWadr(encArg(x_1205), encArg(x_276))) :|: x_1205 >= 0, z = 1 + (1 + x_1205 + x_276), x_276 >= 0 encArg(z) -{ 0 }-> s(s(encArg(x_1204))) :|: x_1204 >= 0, z = 1 + (1 + x_1204) encArg(z) -{ 0 }-> s(prefix(encArg(x_1206))) :|: z = 1 + (1 + x_1206), x_1206 >= 0 encArg(z) -{ 0 }-> s(mark(encArg(x_1200))) :|: x_1200 >= 0, z = 1 + (1 + x_1200) encArg(z) -{ 0 }-> s(from(encArg(x_1203))) :|: x_1203 >= 0, z = 1 + (1 + x_1203) encArg(z) -{ 0 }-> s(cons(encArg(x_1202), encArg(x_275))) :|: x_275 >= 0, z = 1 + (1 + x_1202 + x_275), x_1202 >= 0 encArg(z) -{ 0 }-> s(app(encArg(x_1201), encArg(x_274))) :|: z = 1 + (1 + x_1201 + x_274), x_1201 >= 0, x_274 >= 0 encArg(z) -{ 0 }-> s(active(encArg(x_1199))) :|: z = 1 + (1 + x_1199), x_1199 >= 0 encArg(z) -{ 0 }-> s(0) :|: z = 1 + 0 encArg(z) -{ 0 }-> s(0) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> prefix(zWadr(encArg(x_1301), encArg(x_2112))) :|: z = 1 + (1 + x_1301 + x_2112), x_2112 >= 0, x_1301 >= 0 encArg(z) -{ 0 }-> prefix(s(encArg(x_1300))) :|: x_1300 >= 0, z = 1 + (1 + x_1300) encArg(z) -{ 0 }-> prefix(prefix(encArg(x_1302))) :|: x_1302 >= 0, z = 1 + (1 + x_1302) encArg(z) -{ 0 }-> prefix(mark(encArg(x_1296))) :|: z = 1 + (1 + x_1296), x_1296 >= 0 encArg(z) -{ 0 }-> prefix(from(encArg(x_1299))) :|: z = 1 + (1 + x_1299), x_1299 >= 0 encArg(z) -{ 0 }-> prefix(cons(encArg(x_1298), encArg(x_2111))) :|: z = 1 + (1 + x_1298 + x_2111), x_1298 >= 0, x_2111 >= 0 encArg(z) -{ 0 }-> prefix(app(encArg(x_1297), encArg(x_2110))) :|: x_2110 >= 0, z = 1 + (1 + x_1297 + x_2110), x_1297 >= 0 encArg(z) -{ 0 }-> prefix(active(encArg(x_1295))) :|: x_1295 >= 0, z = 1 + (1 + x_1295) encArg(z) -{ 0 }-> prefix(0) :|: z = 1 + 0 encArg(z) -{ 0 }-> prefix(0) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> mark(zWadr(encArg(x_113), encArg(x_24))) :|: z = 1 + (1 + x_113 + x_24), x_113 >= 0, x_24 >= 0 encArg(z) -{ 0 }-> mark(s(encArg(x_112))) :|: x_112 >= 0, z = 1 + (1 + x_112) encArg(z) -{ 0 }-> mark(prefix(encArg(x_114))) :|: z = 1 + (1 + x_114), x_114 >= 0 encArg(z) -{ 0 }-> mark(mark(encArg(x_18))) :|: z = 1 + (1 + x_18), x_18 >= 0 encArg(z) -{ 0 }-> mark(from(encArg(x_111))) :|: z = 1 + (1 + x_111), x_111 >= 0 encArg(z) -{ 0 }-> mark(cons(encArg(x_110), encArg(x_23))) :|: x_23 >= 0, x_110 >= 0, z = 1 + (1 + x_110 + x_23) encArg(z) -{ 0 }-> mark(app(encArg(x_19), encArg(x_22))) :|: z = 1 + (1 + x_19 + x_22), x_22 >= 0, x_19 >= 0 encArg(z) -{ 0 }-> mark(active(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17) encArg(z) -{ 0 }-> mark(0) :|: z = 1 + 0 encArg(z) -{ 0 }-> mark(0) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> from(zWadr(encArg(x_1197), encArg(x_273))) :|: z = 1 + (1 + x_1197 + x_273), x_1197 >= 0, x_273 >= 0 encArg(z) -{ 0 }-> from(s(encArg(x_1196))) :|: x_1196 >= 0, z = 1 + (1 + x_1196) encArg(z) -{ 0 }-> from(prefix(encArg(x_1198))) :|: z = 1 + (1 + x_1198), x_1198 >= 0 encArg(z) -{ 0 }-> from(mark(encArg(x_1192))) :|: x_1192 >= 0, z = 1 + (1 + x_1192) encArg(z) -{ 0 }-> from(from(encArg(x_1195))) :|: x_1195 >= 0, z = 1 + (1 + x_1195) encArg(z) -{ 0 }-> from(cons(encArg(x_1194), encArg(x_272))) :|: x_272 >= 0, x_1194 >= 0, z = 1 + (1 + x_1194 + x_272) encArg(z) -{ 0 }-> from(app(encArg(x_1193), encArg(x_271))) :|: x_271 >= 0, z = 1 + (1 + x_1193 + x_271), x_1193 >= 0 encArg(z) -{ 0 }-> from(active(encArg(x_1191))) :|: x_1191 >= 0, z = 1 + (1 + x_1191) encArg(z) -{ 0 }-> from(0) :|: z = 1 + 0 encArg(z) -{ 0 }-> from(0) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> cons(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> app(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> active(zWadr(encArg(x_15), encArg(x_21))) :|: x_15 >= 0, z = 1 + (1 + x_15 + x_21), x_21 >= 0 encArg(z) -{ 0 }-> active(s(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14) encArg(z) -{ 0 }-> active(prefix(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16) encArg(z) -{ 0 }-> active(mark(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0 encArg(z) -{ 0 }-> active(from(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0 encArg(z) -{ 0 }-> active(cons(encArg(x_12), encArg(x_2''))) :|: z = 1 + (1 + x_12 + x_2''), x_2'' >= 0, x_12 >= 0 encArg(z) -{ 0 }-> active(app(encArg(x_11), encArg(x_2'))) :|: x_11 >= 0, x_2' >= 0, z = 1 + (1 + x_11 + x_2') encArg(z) -{ 0 }-> active(active(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0 encArg(z) -{ 0 }-> active(0) :|: z = 1 + 0 encArg(z) -{ 0 }-> active(0) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 0 :|: z = 0 encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_active(z) -{ 0 }-> active(zWadr(encArg(x_1309), encArg(x_2115))) :|: x_2115 >= 0, z = 1 + x_1309 + x_2115, x_1309 >= 0 encode_active(z) -{ 0 }-> active(s(encArg(x_1308))) :|: z = 1 + x_1308, x_1308 >= 0 encode_active(z) -{ 0 }-> active(prefix(encArg(x_1310))) :|: x_1310 >= 0, z = 1 + x_1310 encode_active(z) -{ 0 }-> active(mark(encArg(x_1304))) :|: x_1304 >= 0, z = 1 + x_1304 encode_active(z) -{ 0 }-> active(from(encArg(x_1307))) :|: x_1307 >= 0, z = 1 + x_1307 encode_active(z) -{ 0 }-> active(cons(encArg(x_1306), encArg(x_2114))) :|: x_2114 >= 0, z = 1 + x_1306 + x_2114, x_1306 >= 0 encode_active(z) -{ 0 }-> active(app(encArg(x_1305), encArg(x_2113))) :|: x_2113 >= 0, x_1305 >= 0, z = 1 + x_1305 + x_2113 encode_active(z) -{ 0 }-> active(active(encArg(x_1303))) :|: x_1303 >= 0, z = 1 + x_1303 encode_active(z) -{ 0 }-> active(0) :|: z = 0 encode_active(z) -{ 0 }-> active(0) :|: x_1 >= 0, z = x_1 encode_active(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_app(z, z') -{ 0 }-> app(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2 encode_app(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 encode_cons(z, z') -{ 0 }-> cons(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2 encode_cons(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 encode_from(z) -{ 0 }-> from(zWadr(encArg(x_1501), encArg(x_2187))) :|: x_2187 >= 0, z = 1 + x_1501 + x_2187, x_1501 >= 0 encode_from(z) -{ 0 }-> from(s(encArg(x_1500))) :|: z = 1 + x_1500, x_1500 >= 0 encode_from(z) -{ 0 }-> from(prefix(encArg(x_1502))) :|: x_1502 >= 0, z = 1 + x_1502 encode_from(z) -{ 0 }-> from(mark(encArg(x_1496))) :|: x_1496 >= 0, z = 1 + x_1496 encode_from(z) -{ 0 }-> from(from(encArg(x_1499))) :|: z = 1 + x_1499, x_1499 >= 0 encode_from(z) -{ 0 }-> from(cons(encArg(x_1498), encArg(x_2186))) :|: z = 1 + x_1498 + x_2186, x_1498 >= 0, x_2186 >= 0 encode_from(z) -{ 0 }-> from(app(encArg(x_1497), encArg(x_2185))) :|: z = 1 + x_1497 + x_2185, x_2185 >= 0, x_1497 >= 0 encode_from(z) -{ 0 }-> from(active(encArg(x_1495))) :|: x_1495 >= 0, z = 1 + x_1495 encode_from(z) -{ 0 }-> from(0) :|: z = 0 encode_from(z) -{ 0 }-> from(0) :|: x_1 >= 0, z = x_1 encode_from(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_mark(z) -{ 0 }-> mark(zWadr(encArg(x_1405), encArg(x_2151))) :|: z = 1 + x_1405 + x_2151, x_2151 >= 0, x_1405 >= 0 encode_mark(z) -{ 0 }-> mark(s(encArg(x_1404))) :|: x_1404 >= 0, z = 1 + x_1404 encode_mark(z) -{ 0 }-> mark(prefix(encArg(x_1406))) :|: x_1406 >= 0, z = 1 + x_1406 encode_mark(z) -{ 0 }-> mark(mark(encArg(x_1400))) :|: z = 1 + x_1400, x_1400 >= 0 encode_mark(z) -{ 0 }-> mark(from(encArg(x_1403))) :|: x_1403 >= 0, z = 1 + x_1403 encode_mark(z) -{ 0 }-> mark(cons(encArg(x_1402), encArg(x_2150))) :|: z = 1 + x_1402 + x_2150, x_1402 >= 0, x_2150 >= 0 encode_mark(z) -{ 0 }-> mark(app(encArg(x_1401), encArg(x_2149))) :|: x_2149 >= 0, x_1401 >= 0, z = 1 + x_1401 + x_2149 encode_mark(z) -{ 0 }-> mark(active(encArg(x_1399))) :|: z = 1 + x_1399, x_1399 >= 0 encode_mark(z) -{ 0 }-> mark(0) :|: z = 0 encode_mark(z) -{ 0 }-> mark(0) :|: x_1 >= 0, z = x_1 encode_mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_nil -{ 0 }-> 0 :|: encode_prefix(z) -{ 0 }-> prefix(zWadr(encArg(x_1605), encArg(x_2226))) :|: z = 1 + x_1605 + x_2226, x_1605 >= 0, x_2226 >= 0 encode_prefix(z) -{ 0 }-> prefix(s(encArg(x_1604))) :|: x_1604 >= 0, z = 1 + x_1604 encode_prefix(z) -{ 0 }-> prefix(prefix(encArg(x_1606))) :|: z = 1 + x_1606, x_1606 >= 0 encode_prefix(z) -{ 0 }-> prefix(mark(encArg(x_1600))) :|: x_1600 >= 0, z = 1 + x_1600 encode_prefix(z) -{ 0 }-> prefix(from(encArg(x_1603))) :|: z = 1 + x_1603, x_1603 >= 0 encode_prefix(z) -{ 0 }-> prefix(cons(encArg(x_1602), encArg(x_2225))) :|: x_1602 >= 0, z = 1 + x_1602 + x_2225, x_2225 >= 0 encode_prefix(z) -{ 0 }-> prefix(app(encArg(x_1601), encArg(x_2224))) :|: x_2224 >= 0, x_1601 >= 0, z = 1 + x_1601 + x_2224 encode_prefix(z) -{ 0 }-> prefix(active(encArg(x_1599))) :|: x_1599 >= 0, z = 1 + x_1599 encode_prefix(z) -{ 0 }-> prefix(0) :|: z = 0 encode_prefix(z) -{ 0 }-> prefix(0) :|: x_1 >= 0, z = x_1 encode_prefix(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_s(z) -{ 0 }-> s(zWadr(encArg(x_1509), encArg(x_2190))) :|: x_1509 >= 0, x_2190 >= 0, z = 1 + x_1509 + x_2190 encode_s(z) -{ 0 }-> s(s(encArg(x_1508))) :|: z = 1 + x_1508, x_1508 >= 0 encode_s(z) -{ 0 }-> s(prefix(encArg(x_1510))) :|: z = 1 + x_1510, x_1510 >= 0 encode_s(z) -{ 0 }-> s(mark(encArg(x_1504))) :|: x_1504 >= 0, z = 1 + x_1504 encode_s(z) -{ 0 }-> s(from(encArg(x_1507))) :|: x_1507 >= 0, z = 1 + x_1507 encode_s(z) -{ 0 }-> s(cons(encArg(x_1506), encArg(x_2189))) :|: z = 1 + x_1506 + x_2189, x_2189 >= 0, x_1506 >= 0 encode_s(z) -{ 0 }-> s(app(encArg(x_1505), encArg(x_2188))) :|: x_1505 >= 0, x_2188 >= 0, z = 1 + x_1505 + x_2188 encode_s(z) -{ 0 }-> s(active(encArg(x_1503))) :|: x_1503 >= 0, z = 1 + x_1503 encode_s(z) -{ 0 }-> s(0) :|: z = 0 encode_s(z) -{ 0 }-> s(0) :|: x_1 >= 0, z = x_1 encode_s(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_zWadr(z, z') -{ 0 }-> zWadr(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2 encode_zWadr(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 from(z) -{ 1 }-> from(X) :|: z = 1 + X, X >= 0 from(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 from(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 mark(z) -{ 1 }-> active(zWadr(mark(X1), mark(X2))) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> active(s(active(zWadr(mark(X143), mark(X241))))) :|: X143 >= 0, z = 1 + (1 + X143 + X241), X241 >= 0 mark(z) -{ 2 }-> active(s(active(s(mark(X53))))) :|: z = 1 + (1 + X53), X53 >= 0 mark(z) -{ 2 }-> active(s(active(prefix(mark(X52))))) :|: z = 1 + (1 + X52), X52 >= 0 mark(z) -{ 2 }-> active(s(active(from(mark(X54))))) :|: z = 1 + (1 + X54), X54 >= 0 mark(z) -{ 2 }-> active(s(active(cons(mark(X144), X242)))) :|: X144 >= 0, X242 >= 0, z = 1 + (1 + X144 + X242) mark(z) -{ 2 }-> active(s(active(app(mark(X142), mark(X240))))) :|: X240 >= 0, z = 1 + (1 + X142 + X240), X142 >= 0 mark(z) -{ 2 }-> active(s(active(0))) :|: z = 1 + 0 mark(z) -{ 1 }-> active(s(0)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> active(s(1 + X)) :|: z = 1 + X, X >= 0 mark(z) -{ 2 }-> active(prefix(active(zWadr(mark(X1''), mark(X2''))))) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2''), X2'' >= 0 mark(z) -{ 2 }-> active(prefix(active(s(mark(X''))))) :|: z = 1 + (1 + X''), X'' >= 0 mark(z) -{ 2 }-> active(prefix(active(prefix(mark(X'))))) :|: X' >= 0, z = 1 + (1 + X') mark(z) -{ 2 }-> active(prefix(active(from(mark(X3))))) :|: z = 1 + (1 + X3), X3 >= 0 mark(z) -{ 2 }-> active(prefix(active(cons(mark(X11), X21)))) :|: z = 1 + (1 + X11 + X21), X11 >= 0, X21 >= 0 mark(z) -{ 2 }-> active(prefix(active(app(mark(X1'), mark(X2'))))) :|: z = 1 + (1 + X1' + X2'), X2' >= 0, X1' >= 0 mark(z) -{ 2 }-> active(prefix(active(0))) :|: z = 1 + 0 mark(z) -{ 1 }-> active(prefix(0)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> active(prefix(1 + X)) :|: z = 1 + X, X >= 0 mark(z) -{ 2 }-> active(from(active(zWadr(mark(X146), mark(X244))))) :|: X244 >= 0, X146 >= 0, z = 1 + (1 + X146 + X244) mark(z) -{ 2 }-> active(from(active(s(mark(X56))))) :|: X56 >= 0, z = 1 + (1 + X56) mark(z) -{ 2 }-> active(from(active(prefix(mark(X55))))) :|: z = 1 + (1 + X55), X55 >= 0 mark(z) -{ 2 }-> active(from(active(from(mark(X57))))) :|: X57 >= 0, z = 1 + (1 + X57) mark(z) -{ 2 }-> active(from(active(cons(mark(X147), X245)))) :|: X245 >= 0, z = 1 + (1 + X147 + X245), X147 >= 0 mark(z) -{ 2 }-> active(from(active(app(mark(X145), mark(X243))))) :|: z = 1 + (1 + X145 + X243), X243 >= 0, X145 >= 0 mark(z) -{ 2 }-> active(from(active(0))) :|: z = 1 + 0 mark(z) -{ 1 }-> active(from(0)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> active(from(1 + X)) :|: z = 1 + X, X >= 0 mark(z) -{ 2 }-> active(cons(active(zWadr(mark(X179), mark(X277))), X2)) :|: X2 >= 0, X179 >= 0, X277 >= 0, z = 1 + (1 + X179 + X277) + X2 mark(z) -{ 2 }-> active(cons(active(s(mark(X91))), X2)) :|: X91 >= 0, X2 >= 0, z = 1 + (1 + X91) + X2 mark(z) -{ 2 }-> active(cons(active(prefix(mark(X90))), X2)) :|: X90 >= 0, z = 1 + (1 + X90) + X2, X2 >= 0 mark(z) -{ 2 }-> active(cons(active(from(mark(X92))), X2)) :|: X92 >= 0, z = 1 + (1 + X92) + X2, X2 >= 0 mark(z) -{ 2 }-> active(cons(active(cons(mark(X180), X278)), X2)) :|: X2 >= 0, X180 >= 0, X278 >= 0, z = 1 + (1 + X180 + X278) + X2 mark(z) -{ 2 }-> active(cons(active(app(mark(X178), mark(X276))), X2)) :|: X276 >= 0, z = 1 + (1 + X178 + X276) + X2, X2 >= 0, X178 >= 0 mark(z) -{ 2 }-> active(cons(active(0), X2)) :|: z = 1 + 0 + X2, X2 >= 0 mark(z) -{ 1 }-> active(cons(0, X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> active(cons(1 + X1, X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> active(app(mark(X1), mark(X2))) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> active(0) :|: z = 0 mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 mark(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 prefix(z) -{ 1 }-> prefix(X) :|: z = 1 + X, X >= 0 prefix(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 prefix(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 s(z) -{ 1 }-> s(X) :|: z = 1 + X, X >= 0 s(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 s(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 zWadr(z, z') -{ 1 }-> zWadr(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2 zWadr(z, z') -{ 1 }-> zWadr(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1 zWadr(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 zWadr(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1 ---------------------------------------- (33) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (34) Obligation: Complexity RNTS consisting of the following rules: active(z) -{ 2 }-> mark(cons(X, app(X181, YS))) :|: X >= 0, X181 >= 0, YS >= 0, z = 1 + (1 + X + (1 + X181)) + YS active(z) -{ 2 }-> mark(cons(X, app(X182, YS))) :|: z = 1 + (1 + X + (1 + X182)) + YS, X >= 0, YS >= 0, X182 >= 0 active(z) -{ 2 }-> mark(cons(X, app(XS, X279))) :|: X279 >= 0, z = 1 + (1 + X + XS) + (1 + X279), X >= 0, XS >= 0 active(z) -{ 2 }-> mark(cons(X, app(XS, X280))) :|: z = 1 + (1 + X + XS) + (1 + X280), X >= 0, X280 >= 0, XS >= 0 active(z) -{ 1 }-> mark(cons(X, 0)) :|: X >= 0, YS >= 0, z = 1 + (1 + X + XS) + YS, XS >= 0 active(z) -{ 1 }-> mark(cons(X, 1 + XS + YS)) :|: X >= 0, YS >= 0, z = 1 + (1 + X + XS) + YS, XS >= 0 active(z) -{ 1 }-> mark(cons(app(Y, cons(X, 0)), zWadr(XS, YS))) :|: Y >= 0, X >= 0, YS >= 0, z = 1 + (1 + X + XS) + (1 + Y + YS), XS >= 0 active(z) -{ 1 }-> mark(cons(0, zWadr(z - 1, 0))) :|: z - 1 >= 0 active(z) -{ 1 }-> mark(cons(0, zWadr(z - 1, 1 + (z - 1)))) :|: z - 1 >= 0 active(z) -{ 2 }-> mark(cons(0, zWadr(1 + (z - 2), prefix(z - 2)))) :|: z - 2 >= 0 active(z) -{ 1 }-> mark(cons(z - 1, from(0))) :|: z - 1 >= 0 active(z) -{ 1 }-> mark(cons(z - 1, from(1 + (z - 1)))) :|: z - 1 >= 0 active(z) -{ 2 }-> mark(cons(1 + (z - 2), from(s(z - 2)))) :|: z - 2 >= 0 active(z) -{ 1 }-> mark(0) :|: z - 1 >= 0 active(z) -{ 1 }-> mark(z - 1) :|: z - 1 >= 0 active(z) -{ 0 }-> 0 :|: z >= 0 active(z) -{ 0 }-> 1 + z :|: z >= 0 app(z, z') -{ 1 }-> app(z, z' - 1) :|: z >= 0, z' - 1 >= 0 app(z, z') -{ 1 }-> app(z - 1, z') :|: z - 1 >= 0, z' >= 0 app(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 app(z, z') -{ 0 }-> 1 + z + z' :|: z >= 0, z' >= 0 cons(z, z') -{ 1 }-> cons(z, z' - 1) :|: z >= 0, z' - 1 >= 0 cons(z, z') -{ 1 }-> cons(z - 1, z') :|: z - 1 >= 0, z' >= 0 cons(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 cons(z, z') -{ 0 }-> 1 + z + z' :|: z >= 0, z' >= 0 encArg(z) -{ 0 }-> zWadr(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> s(zWadr(encArg(x_1205), encArg(x_276))) :|: x_1205 >= 0, z = 1 + (1 + x_1205 + x_276), x_276 >= 0 encArg(z) -{ 0 }-> s(s(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> s(prefix(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> s(mark(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> s(from(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> s(cons(encArg(x_1202), encArg(x_275))) :|: x_275 >= 0, z = 1 + (1 + x_1202 + x_275), x_1202 >= 0 encArg(z) -{ 0 }-> s(app(encArg(x_1201), encArg(x_274))) :|: z = 1 + (1 + x_1201 + x_274), x_1201 >= 0, x_274 >= 0 encArg(z) -{ 0 }-> s(active(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> s(0) :|: z = 1 + 0 encArg(z) -{ 0 }-> s(0) :|: z - 1 >= 0 encArg(z) -{ 0 }-> prefix(zWadr(encArg(x_1301), encArg(x_2112))) :|: z = 1 + (1 + x_1301 + x_2112), x_2112 >= 0, x_1301 >= 0 encArg(z) -{ 0 }-> prefix(s(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> prefix(prefix(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> prefix(mark(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> prefix(from(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> prefix(cons(encArg(x_1298), encArg(x_2111))) :|: z = 1 + (1 + x_1298 + x_2111), x_1298 >= 0, x_2111 >= 0 encArg(z) -{ 0 }-> prefix(app(encArg(x_1297), encArg(x_2110))) :|: x_2110 >= 0, z = 1 + (1 + x_1297 + x_2110), x_1297 >= 0 encArg(z) -{ 0 }-> prefix(active(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> prefix(0) :|: z = 1 + 0 encArg(z) -{ 0 }-> prefix(0) :|: z - 1 >= 0 encArg(z) -{ 0 }-> mark(zWadr(encArg(x_113), encArg(x_24))) :|: z = 1 + (1 + x_113 + x_24), x_113 >= 0, x_24 >= 0 encArg(z) -{ 0 }-> mark(s(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> mark(prefix(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> mark(mark(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> mark(from(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> mark(cons(encArg(x_110), encArg(x_23))) :|: x_23 >= 0, x_110 >= 0, z = 1 + (1 + x_110 + x_23) encArg(z) -{ 0 }-> mark(app(encArg(x_19), encArg(x_22))) :|: z = 1 + (1 + x_19 + x_22), x_22 >= 0, x_19 >= 0 encArg(z) -{ 0 }-> mark(active(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> mark(0) :|: z = 1 + 0 encArg(z) -{ 0 }-> mark(0) :|: z - 1 >= 0 encArg(z) -{ 0 }-> from(zWadr(encArg(x_1197), encArg(x_273))) :|: z = 1 + (1 + x_1197 + x_273), x_1197 >= 0, x_273 >= 0 encArg(z) -{ 0 }-> from(s(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> from(prefix(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> from(mark(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> from(from(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> from(cons(encArg(x_1194), encArg(x_272))) :|: x_272 >= 0, x_1194 >= 0, z = 1 + (1 + x_1194 + x_272) encArg(z) -{ 0 }-> from(app(encArg(x_1193), encArg(x_271))) :|: x_271 >= 0, z = 1 + (1 + x_1193 + x_271), x_1193 >= 0 encArg(z) -{ 0 }-> from(active(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> from(0) :|: z = 1 + 0 encArg(z) -{ 0 }-> from(0) :|: z - 1 >= 0 encArg(z) -{ 0 }-> cons(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> app(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> active(zWadr(encArg(x_15), encArg(x_21))) :|: x_15 >= 0, z = 1 + (1 + x_15 + x_21), x_21 >= 0 encArg(z) -{ 0 }-> active(s(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> active(prefix(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> active(mark(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> active(from(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> active(cons(encArg(x_12), encArg(x_2''))) :|: z = 1 + (1 + x_12 + x_2''), x_2'' >= 0, x_12 >= 0 encArg(z) -{ 0 }-> active(app(encArg(x_11), encArg(x_2'))) :|: x_11 >= 0, x_2' >= 0, z = 1 + (1 + x_11 + x_2') encArg(z) -{ 0 }-> active(active(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> active(0) :|: z = 1 + 0 encArg(z) -{ 0 }-> active(0) :|: z - 1 >= 0 encArg(z) -{ 0 }-> 0 :|: z = 0 encArg(z) -{ 0 }-> 0 :|: z >= 0 encode_active(z) -{ 0 }-> active(zWadr(encArg(x_1309), encArg(x_2115))) :|: x_2115 >= 0, z = 1 + x_1309 + x_2115, x_1309 >= 0 encode_active(z) -{ 0 }-> active(s(encArg(z - 1))) :|: z - 1 >= 0 encode_active(z) -{ 0 }-> active(prefix(encArg(z - 1))) :|: z - 1 >= 0 encode_active(z) -{ 0 }-> active(mark(encArg(z - 1))) :|: z - 1 >= 0 encode_active(z) -{ 0 }-> active(from(encArg(z - 1))) :|: z - 1 >= 0 encode_active(z) -{ 0 }-> active(cons(encArg(x_1306), encArg(x_2114))) :|: x_2114 >= 0, z = 1 + x_1306 + x_2114, x_1306 >= 0 encode_active(z) -{ 0 }-> active(app(encArg(x_1305), encArg(x_2113))) :|: x_2113 >= 0, x_1305 >= 0, z = 1 + x_1305 + x_2113 encode_active(z) -{ 0 }-> active(active(encArg(z - 1))) :|: z - 1 >= 0 encode_active(z) -{ 0 }-> active(0) :|: z = 0 encode_active(z) -{ 0 }-> active(0) :|: z >= 0 encode_active(z) -{ 0 }-> 0 :|: z >= 0 encode_app(z, z') -{ 0 }-> app(encArg(z), encArg(z')) :|: z >= 0, z' >= 0 encode_app(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 encode_cons(z, z') -{ 0 }-> cons(encArg(z), encArg(z')) :|: z >= 0, z' >= 0 encode_cons(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 encode_from(z) -{ 0 }-> from(zWadr(encArg(x_1501), encArg(x_2187))) :|: x_2187 >= 0, z = 1 + x_1501 + x_2187, x_1501 >= 0 encode_from(z) -{ 0 }-> from(s(encArg(z - 1))) :|: z - 1 >= 0 encode_from(z) -{ 0 }-> from(prefix(encArg(z - 1))) :|: z - 1 >= 0 encode_from(z) -{ 0 }-> from(mark(encArg(z - 1))) :|: z - 1 >= 0 encode_from(z) -{ 0 }-> from(from(encArg(z - 1))) :|: z - 1 >= 0 encode_from(z) -{ 0 }-> from(cons(encArg(x_1498), encArg(x_2186))) :|: z = 1 + x_1498 + x_2186, x_1498 >= 0, x_2186 >= 0 encode_from(z) -{ 0 }-> from(app(encArg(x_1497), encArg(x_2185))) :|: z = 1 + x_1497 + x_2185, x_2185 >= 0, x_1497 >= 0 encode_from(z) -{ 0 }-> from(active(encArg(z - 1))) :|: z - 1 >= 0 encode_from(z) -{ 0 }-> from(0) :|: z = 0 encode_from(z) -{ 0 }-> from(0) :|: z >= 0 encode_from(z) -{ 0 }-> 0 :|: z >= 0 encode_mark(z) -{ 0 }-> mark(zWadr(encArg(x_1405), encArg(x_2151))) :|: z = 1 + x_1405 + x_2151, x_2151 >= 0, x_1405 >= 0 encode_mark(z) -{ 0 }-> mark(s(encArg(z - 1))) :|: z - 1 >= 0 encode_mark(z) -{ 0 }-> mark(prefix(encArg(z - 1))) :|: z - 1 >= 0 encode_mark(z) -{ 0 }-> mark(mark(encArg(z - 1))) :|: z - 1 >= 0 encode_mark(z) -{ 0 }-> mark(from(encArg(z - 1))) :|: z - 1 >= 0 encode_mark(z) -{ 0 }-> mark(cons(encArg(x_1402), encArg(x_2150))) :|: z = 1 + x_1402 + x_2150, x_1402 >= 0, x_2150 >= 0 encode_mark(z) -{ 0 }-> mark(app(encArg(x_1401), encArg(x_2149))) :|: x_2149 >= 0, x_1401 >= 0, z = 1 + x_1401 + x_2149 encode_mark(z) -{ 0 }-> mark(active(encArg(z - 1))) :|: z - 1 >= 0 encode_mark(z) -{ 0 }-> mark(0) :|: z = 0 encode_mark(z) -{ 0 }-> mark(0) :|: z >= 0 encode_mark(z) -{ 0 }-> 0 :|: z >= 0 encode_nil -{ 0 }-> 0 :|: encode_prefix(z) -{ 0 }-> prefix(zWadr(encArg(x_1605), encArg(x_2226))) :|: z = 1 + x_1605 + x_2226, x_1605 >= 0, x_2226 >= 0 encode_prefix(z) -{ 0 }-> prefix(s(encArg(z - 1))) :|: z - 1 >= 0 encode_prefix(z) -{ 0 }-> prefix(prefix(encArg(z - 1))) :|: z - 1 >= 0 encode_prefix(z) -{ 0 }-> prefix(mark(encArg(z - 1))) :|: z - 1 >= 0 encode_prefix(z) -{ 0 }-> prefix(from(encArg(z - 1))) :|: z - 1 >= 0 encode_prefix(z) -{ 0 }-> prefix(cons(encArg(x_1602), encArg(x_2225))) :|: x_1602 >= 0, z = 1 + x_1602 + x_2225, x_2225 >= 0 encode_prefix(z) -{ 0 }-> prefix(app(encArg(x_1601), encArg(x_2224))) :|: x_2224 >= 0, x_1601 >= 0, z = 1 + x_1601 + x_2224 encode_prefix(z) -{ 0 }-> prefix(active(encArg(z - 1))) :|: z - 1 >= 0 encode_prefix(z) -{ 0 }-> prefix(0) :|: z = 0 encode_prefix(z) -{ 0 }-> prefix(0) :|: z >= 0 encode_prefix(z) -{ 0 }-> 0 :|: z >= 0 encode_s(z) -{ 0 }-> s(zWadr(encArg(x_1509), encArg(x_2190))) :|: x_1509 >= 0, x_2190 >= 0, z = 1 + x_1509 + x_2190 encode_s(z) -{ 0 }-> s(s(encArg(z - 1))) :|: z - 1 >= 0 encode_s(z) -{ 0 }-> s(prefix(encArg(z - 1))) :|: z - 1 >= 0 encode_s(z) -{ 0 }-> s(mark(encArg(z - 1))) :|: z - 1 >= 0 encode_s(z) -{ 0 }-> s(from(encArg(z - 1))) :|: z - 1 >= 0 encode_s(z) -{ 0 }-> s(cons(encArg(x_1506), encArg(x_2189))) :|: z = 1 + x_1506 + x_2189, x_2189 >= 0, x_1506 >= 0 encode_s(z) -{ 0 }-> s(app(encArg(x_1505), encArg(x_2188))) :|: x_1505 >= 0, x_2188 >= 0, z = 1 + x_1505 + x_2188 encode_s(z) -{ 0 }-> s(active(encArg(z - 1))) :|: z - 1 >= 0 encode_s(z) -{ 0 }-> s(0) :|: z = 0 encode_s(z) -{ 0 }-> s(0) :|: z >= 0 encode_s(z) -{ 0 }-> 0 :|: z >= 0 encode_zWadr(z, z') -{ 0 }-> zWadr(encArg(z), encArg(z')) :|: z >= 0, z' >= 0 encode_zWadr(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 from(z) -{ 1 }-> from(z - 1) :|: z - 1 >= 0 from(z) -{ 0 }-> 0 :|: z >= 0 from(z) -{ 0 }-> 1 + z :|: z >= 0 mark(z) -{ 1 }-> active(zWadr(mark(X1), mark(X2))) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> active(s(active(zWadr(mark(X143), mark(X241))))) :|: X143 >= 0, z = 1 + (1 + X143 + X241), X241 >= 0 mark(z) -{ 2 }-> active(s(active(s(mark(z - 2))))) :|: z - 2 >= 0 mark(z) -{ 2 }-> active(s(active(prefix(mark(z - 2))))) :|: z - 2 >= 0 mark(z) -{ 2 }-> active(s(active(from(mark(z - 2))))) :|: z - 2 >= 0 mark(z) -{ 2 }-> active(s(active(cons(mark(X144), X242)))) :|: X144 >= 0, X242 >= 0, z = 1 + (1 + X144 + X242) mark(z) -{ 2 }-> active(s(active(app(mark(X142), mark(X240))))) :|: X240 >= 0, z = 1 + (1 + X142 + X240), X142 >= 0 mark(z) -{ 2 }-> active(s(active(0))) :|: z = 1 + 0 mark(z) -{ 1 }-> active(s(0)) :|: z - 1 >= 0 mark(z) -{ 1 }-> active(s(1 + (z - 1))) :|: z - 1 >= 0 mark(z) -{ 2 }-> active(prefix(active(zWadr(mark(X1''), mark(X2''))))) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2''), X2'' >= 0 mark(z) -{ 2 }-> active(prefix(active(s(mark(z - 2))))) :|: z - 2 >= 0 mark(z) -{ 2 }-> active(prefix(active(prefix(mark(z - 2))))) :|: z - 2 >= 0 mark(z) -{ 2 }-> active(prefix(active(from(mark(z - 2))))) :|: z - 2 >= 0 mark(z) -{ 2 }-> active(prefix(active(cons(mark(X11), X21)))) :|: z = 1 + (1 + X11 + X21), X11 >= 0, X21 >= 0 mark(z) -{ 2 }-> active(prefix(active(app(mark(X1'), mark(X2'))))) :|: z = 1 + (1 + X1' + X2'), X2' >= 0, X1' >= 0 mark(z) -{ 2 }-> active(prefix(active(0))) :|: z = 1 + 0 mark(z) -{ 1 }-> active(prefix(0)) :|: z - 1 >= 0 mark(z) -{ 1 }-> active(prefix(1 + (z - 1))) :|: z - 1 >= 0 mark(z) -{ 2 }-> active(from(active(zWadr(mark(X146), mark(X244))))) :|: X244 >= 0, X146 >= 0, z = 1 + (1 + X146 + X244) mark(z) -{ 2 }-> active(from(active(s(mark(z - 2))))) :|: z - 2 >= 0 mark(z) -{ 2 }-> active(from(active(prefix(mark(z - 2))))) :|: z - 2 >= 0 mark(z) -{ 2 }-> active(from(active(from(mark(z - 2))))) :|: z - 2 >= 0 mark(z) -{ 2 }-> active(from(active(cons(mark(X147), X245)))) :|: X245 >= 0, z = 1 + (1 + X147 + X245), X147 >= 0 mark(z) -{ 2 }-> active(from(active(app(mark(X145), mark(X243))))) :|: z = 1 + (1 + X145 + X243), X243 >= 0, X145 >= 0 mark(z) -{ 2 }-> active(from(active(0))) :|: z = 1 + 0 mark(z) -{ 1 }-> active(from(0)) :|: z - 1 >= 0 mark(z) -{ 1 }-> active(from(1 + (z - 1))) :|: z - 1 >= 0 mark(z) -{ 2 }-> active(cons(active(zWadr(mark(X179), mark(X277))), X2)) :|: X2 >= 0, X179 >= 0, X277 >= 0, z = 1 + (1 + X179 + X277) + X2 mark(z) -{ 2 }-> active(cons(active(s(mark(X91))), X2)) :|: X91 >= 0, X2 >= 0, z = 1 + (1 + X91) + X2 mark(z) -{ 2 }-> active(cons(active(prefix(mark(X90))), X2)) :|: X90 >= 0, z = 1 + (1 + X90) + X2, X2 >= 0 mark(z) -{ 2 }-> active(cons(active(from(mark(X92))), X2)) :|: X92 >= 0, z = 1 + (1 + X92) + X2, X2 >= 0 mark(z) -{ 2 }-> active(cons(active(cons(mark(X180), X278)), X2)) :|: X2 >= 0, X180 >= 0, X278 >= 0, z = 1 + (1 + X180 + X278) + X2 mark(z) -{ 2 }-> active(cons(active(app(mark(X178), mark(X276))), X2)) :|: X276 >= 0, z = 1 + (1 + X178 + X276) + X2, X2 >= 0, X178 >= 0 mark(z) -{ 2 }-> active(cons(active(0), z - 1)) :|: z - 1 >= 0 mark(z) -{ 1 }-> active(cons(0, X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> active(cons(1 + X1, X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> active(app(mark(X1), mark(X2))) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> active(0) :|: z = 0 mark(z) -{ 0 }-> 0 :|: z >= 0 mark(z) -{ 0 }-> 1 + z :|: z >= 0 prefix(z) -{ 1 }-> prefix(z - 1) :|: z - 1 >= 0 prefix(z) -{ 0 }-> 0 :|: z >= 0 prefix(z) -{ 0 }-> 1 + z :|: z >= 0 s(z) -{ 1 }-> s(z - 1) :|: z - 1 >= 0 s(z) -{ 0 }-> 0 :|: z >= 0 s(z) -{ 0 }-> 1 + z :|: z >= 0 zWadr(z, z') -{ 1 }-> zWadr(z, z' - 1) :|: z >= 0, z' - 1 >= 0 zWadr(z, z') -{ 1 }-> zWadr(z - 1, z') :|: z - 1 >= 0, z' >= 0 zWadr(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 zWadr(z, z') -{ 0 }-> 1 + z + z' :|: z >= 0, z' >= 0 ---------------------------------------- (35) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS to CDT ---------------------------------------- (36) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) encode_active(z0) -> active(encArg(z0)) encode_app(z0, z1) -> app(encArg(z0), encArg(z1)) encode_nil -> nil encode_mark(z0) -> mark(encArg(z0)) encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1)) encode_from(z0) -> from(encArg(z0)) encode_s(z0) -> s(encArg(z0)) encode_zWadr(z0, z1) -> zWadr(encArg(z0), encArg(z1)) encode_prefix(z0) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(nil) -> c ENCARG(cons_active(z0)) -> c1(ACTIVE(encArg(z0)), ENCARG(z0)) ENCARG(cons_mark(z0)) -> c2(MARK(encArg(z0)), ENCARG(z0)) ENCARG(cons_app(z0, z1)) -> c3(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_cons(z0, z1)) -> c4(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_from(z0)) -> c5(FROM(encArg(z0)), ENCARG(z0)) ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ENCODE_ACTIVE(z0) -> c9(ACTIVE(encArg(z0)), ENCARG(z0)) ENCODE_APP(z0, z1) -> c10(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_NIL -> c11 ENCODE_MARK(z0) -> c12(MARK(encArg(z0)), ENCARG(z0)) ENCODE_CONS(z0, z1) -> c13(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_FROM(z0) -> c14(FROM(encArg(z0)), ENCARG(z0)) ENCODE_S(z0) -> c15(S(encArg(z0)), ENCARG(z0)) ENCODE_ZWADR(z0, z1) -> c16(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_PREFIX(z0) -> c17(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), CONS(z0, from(s(z0))), FROM(s(z0)), S(z0)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), CONS(app(z2, cons(z0, nil)), zWadr(z1, z3)), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), CONS(nil, zWadr(z0, prefix(z0))), ZWADR(z0, prefix(z0)), PREFIX(z0)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(nil) -> c26(ACTIVE(nil)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), CONS(z0, from(s(z0))), FROM(s(z0)), S(z0)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), CONS(app(z2, cons(z0, nil)), zWadr(z1, z3)), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), CONS(nil, zWadr(z0, prefix(z0))), ZWADR(z0, prefix(z0)), PREFIX(z0)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(nil) -> c26(ACTIVE(nil)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) K tuples:none Defined Rule Symbols: active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1, encArg_1, encode_active_1, encode_app_2, encode_nil, encode_mark_1, encode_cons_2, encode_from_1, encode_s_1, encode_zWadr_2, encode_prefix_1 Defined Pair Symbols: ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_NIL, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1 Compound Symbols: c, c1_2, c2_2, c3_3, c4_3, c5_2, c6_2, c7_3, c8_2, c9_2, c10_3, c11, c12_2, c13_3, c14_2, c15_2, c16_3, c17_2, c18_1, c19_3, c20_4, c21_1, c22_1, c23_5, c24_4, c25_4, c26_1, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1 ---------------------------------------- (37) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ENCODE_NIL -> c11 ENCARG(nil) -> c ---------------------------------------- (38) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) encode_active(z0) -> active(encArg(z0)) encode_app(z0, z1) -> app(encArg(z0), encArg(z1)) encode_nil -> nil encode_mark(z0) -> mark(encArg(z0)) encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1)) encode_from(z0) -> from(encArg(z0)) encode_s(z0) -> s(encArg(z0)) encode_zWadr(z0, z1) -> zWadr(encArg(z0), encArg(z1)) encode_prefix(z0) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_active(z0)) -> c1(ACTIVE(encArg(z0)), ENCARG(z0)) ENCARG(cons_mark(z0)) -> c2(MARK(encArg(z0)), ENCARG(z0)) ENCARG(cons_app(z0, z1)) -> c3(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_cons(z0, z1)) -> c4(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_from(z0)) -> c5(FROM(encArg(z0)), ENCARG(z0)) ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ENCODE_ACTIVE(z0) -> c9(ACTIVE(encArg(z0)), ENCARG(z0)) ENCODE_APP(z0, z1) -> c10(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_MARK(z0) -> c12(MARK(encArg(z0)), ENCARG(z0)) ENCODE_CONS(z0, z1) -> c13(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_FROM(z0) -> c14(FROM(encArg(z0)), ENCARG(z0)) ENCODE_S(z0) -> c15(S(encArg(z0)), ENCARG(z0)) ENCODE_ZWADR(z0, z1) -> c16(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_PREFIX(z0) -> c17(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), CONS(z0, from(s(z0))), FROM(s(z0)), S(z0)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), CONS(app(z2, cons(z0, nil)), zWadr(z1, z3)), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), CONS(nil, zWadr(z0, prefix(z0))), ZWADR(z0, prefix(z0)), PREFIX(z0)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(nil) -> c26(ACTIVE(nil)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), CONS(z0, from(s(z0))), FROM(s(z0)), S(z0)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), CONS(app(z2, cons(z0, nil)), zWadr(z1, z3)), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), CONS(nil, zWadr(z0, prefix(z0))), ZWADR(z0, prefix(z0)), PREFIX(z0)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(nil) -> c26(ACTIVE(nil)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) K tuples:none Defined Rule Symbols: active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1, encArg_1, encode_active_1, encode_app_2, encode_nil, encode_mark_1, encode_cons_2, encode_from_1, encode_s_1, encode_zWadr_2, encode_prefix_1 Defined Pair Symbols: ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1 Compound Symbols: c1_2, c2_2, c3_3, c4_3, c5_2, c6_2, c7_3, c8_2, c9_2, c10_3, c12_2, c13_3, c14_2, c15_2, c16_3, c17_2, c18_1, c19_3, c20_4, c21_1, c22_1, c23_5, c24_4, c25_4, c26_1, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1 ---------------------------------------- (39) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 trailing tuple parts ---------------------------------------- (40) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) encode_active(z0) -> active(encArg(z0)) encode_app(z0, z1) -> app(encArg(z0), encArg(z1)) encode_nil -> nil encode_mark(z0) -> mark(encArg(z0)) encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1)) encode_from(z0) -> from(encArg(z0)) encode_s(z0) -> s(encArg(z0)) encode_zWadr(z0, z1) -> zWadr(encArg(z0), encArg(z1)) encode_prefix(z0) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_active(z0)) -> c1(ACTIVE(encArg(z0)), ENCARG(z0)) ENCARG(cons_mark(z0)) -> c2(MARK(encArg(z0)), ENCARG(z0)) ENCARG(cons_app(z0, z1)) -> c3(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_cons(z0, z1)) -> c4(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_from(z0)) -> c5(FROM(encArg(z0)), ENCARG(z0)) ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ENCODE_ACTIVE(z0) -> c9(ACTIVE(encArg(z0)), ENCARG(z0)) ENCODE_APP(z0, z1) -> c10(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_MARK(z0) -> c12(MARK(encArg(z0)), ENCARG(z0)) ENCODE_CONS(z0, z1) -> c13(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_FROM(z0) -> c14(FROM(encArg(z0)), ENCARG(z0)) ENCODE_S(z0) -> c15(S(encArg(z0)), ENCARG(z0)) ENCODE_ZWADR(z0, z1) -> c16(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_PREFIX(z0) -> c17(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1, encArg_1, encode_active_1, encode_app_2, encode_nil, encode_mark_1, encode_cons_2, encode_from_1, encode_s_1, encode_zWadr_2, encode_prefix_1 Defined Pair Symbols: ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1 Compound Symbols: c1_2, c2_2, c3_3, c4_3, c5_2, c6_2, c7_3, c8_2, c9_2, c10_3, c12_2, c13_3, c14_2, c15_2, c16_3, c17_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26 ---------------------------------------- (41) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (42) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) encode_active(z0) -> active(encArg(z0)) encode_app(z0, z1) -> app(encArg(z0), encArg(z1)) encode_nil -> nil encode_mark(z0) -> mark(encArg(z0)) encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1)) encode_from(z0) -> from(encArg(z0)) encode_s(z0) -> s(encArg(z0)) encode_zWadr(z0, z1) -> zWadr(encArg(z0), encArg(z1)) encode_prefix(z0) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_active(z0)) -> c1(ACTIVE(encArg(z0)), ENCARG(z0)) ENCARG(cons_mark(z0)) -> c2(MARK(encArg(z0)), ENCARG(z0)) ENCARG(cons_app(z0, z1)) -> c3(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_cons(z0, z1)) -> c4(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_from(z0)) -> c5(FROM(encArg(z0)), ENCARG(z0)) ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_ACTIVE(z0) -> c(ENCARG(z0)) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_APP(z0, z1) -> c(ENCARG(z0)) ENCODE_APP(z0, z1) -> c(ENCARG(z1)) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_MARK(z0) -> c(ENCARG(z0)) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_CONS(z0, z1) -> c(ENCARG(z0)) ENCODE_CONS(z0, z1) -> c(ENCARG(z1)) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_FROM(z0) -> c(ENCARG(z0)) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_S(z0) -> c(ENCARG(z0)) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_ZWADR(z0, z1) -> c(ENCARG(z0)) ENCODE_ZWADR(z0, z1) -> c(ENCARG(z1)) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCODE_PREFIX(z0) -> c(ENCARG(z0)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1, encArg_1, encode_active_1, encode_app_2, encode_nil, encode_mark_1, encode_cons_2, encode_from_1, encode_s_1, encode_zWadr_2, encode_prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c1_2, c2_2, c3_3, c4_3, c5_2, c6_2, c7_3, c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1 ---------------------------------------- (43) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 11 leading nodes: ENCODE_ACTIVE(z0) -> c(ENCARG(z0)) ENCODE_APP(z0, z1) -> c(ENCARG(z0)) ENCODE_APP(z0, z1) -> c(ENCARG(z1)) ENCODE_MARK(z0) -> c(ENCARG(z0)) ENCODE_CONS(z0, z1) -> c(ENCARG(z0)) ENCODE_CONS(z0, z1) -> c(ENCARG(z1)) ENCODE_FROM(z0) -> c(ENCARG(z0)) ENCODE_S(z0) -> c(ENCARG(z0)) ENCODE_ZWADR(z0, z1) -> c(ENCARG(z0)) ENCODE_ZWADR(z0, z1) -> c(ENCARG(z1)) ENCODE_PREFIX(z0) -> c(ENCARG(z0)) ---------------------------------------- (44) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) encode_active(z0) -> active(encArg(z0)) encode_app(z0, z1) -> app(encArg(z0), encArg(z1)) encode_nil -> nil encode_mark(z0) -> mark(encArg(z0)) encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1)) encode_from(z0) -> from(encArg(z0)) encode_s(z0) -> s(encArg(z0)) encode_zWadr(z0, z1) -> zWadr(encArg(z0), encArg(z1)) encode_prefix(z0) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_active(z0)) -> c1(ACTIVE(encArg(z0)), ENCARG(z0)) ENCARG(cons_mark(z0)) -> c2(MARK(encArg(z0)), ENCARG(z0)) ENCARG(cons_app(z0, z1)) -> c3(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_cons(z0, z1)) -> c4(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_from(z0)) -> c5(FROM(encArg(z0)), ENCARG(z0)) ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1, encArg_1, encode_active_1, encode_app_2, encode_nil, encode_mark_1, encode_cons_2, encode_from_1, encode_s_1, encode_zWadr_2, encode_prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c1_2, c2_2, c3_3, c4_3, c5_2, c6_2, c7_3, c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1 ---------------------------------------- (45) CdtUsableRulesProof (BOTH BOUNDS(ID, ID)) The following rules are not usable and were removed: encode_active(z0) -> active(encArg(z0)) encode_app(z0, z1) -> app(encArg(z0), encArg(z1)) encode_nil -> nil encode_mark(z0) -> mark(encArg(z0)) encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1)) encode_from(z0) -> from(encArg(z0)) encode_s(z0) -> s(encArg(z0)) encode_zWadr(z0, z1) -> zWadr(encArg(z0), encArg(z1)) encode_prefix(z0) -> prefix(encArg(z0)) ---------------------------------------- (46) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_active(z0)) -> c1(ACTIVE(encArg(z0)), ENCARG(z0)) ENCARG(cons_mark(z0)) -> c2(MARK(encArg(z0)), ENCARG(z0)) ENCARG(cons_app(z0, z1)) -> c3(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_cons(z0, z1)) -> c4(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_from(z0)) -> c5(FROM(encArg(z0)), ENCARG(z0)) ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c1_2, c2_2, c3_3, c4_3, c5_2, c6_2, c7_3, c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1 ---------------------------------------- (47) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_active(z0)) -> c1(ACTIVE(encArg(z0)), ENCARG(z0)) by ENCARG(cons_active(nil)) -> c1(ACTIVE(nil), ENCARG(nil)) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ---------------------------------------- (48) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_mark(z0)) -> c2(MARK(encArg(z0)), ENCARG(z0)) ENCARG(cons_app(z0, z1)) -> c3(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_cons(z0, z1)) -> c4(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_from(z0)) -> c5(FROM(encArg(z0)), ENCARG(z0)) ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(nil)) -> c1(ACTIVE(nil), ENCARG(nil)) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c2_2, c3_3, c4_3, c5_2, c6_2, c7_3, c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2 ---------------------------------------- (49) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: ENCARG(cons_active(nil)) -> c1(ACTIVE(nil), ENCARG(nil)) ---------------------------------------- (50) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_mark(z0)) -> c2(MARK(encArg(z0)), ENCARG(z0)) ENCARG(cons_app(z0, z1)) -> c3(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_cons(z0, z1)) -> c4(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_from(z0)) -> c5(FROM(encArg(z0)), ENCARG(z0)) ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c2_2, c3_3, c4_3, c5_2, c6_2, c7_3, c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2 ---------------------------------------- (51) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_mark(z0)) -> c2(MARK(encArg(z0)), ENCARG(z0)) by ENCARG(cons_mark(nil)) -> c2(MARK(nil), ENCARG(nil)) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ---------------------------------------- (52) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_app(z0, z1)) -> c3(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_cons(z0, z1)) -> c4(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_from(z0)) -> c5(FROM(encArg(z0)), ENCARG(z0)) ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil), ENCARG(nil)) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c3_3, c4_3, c5_2, c6_2, c7_3, c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2 ---------------------------------------- (53) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (54) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_app(z0, z1)) -> c3(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_cons(z0, z1)) -> c4(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_from(z0)) -> c5(FROM(encArg(z0)), ENCARG(z0)) ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c3_3, c4_3, c5_2, c6_2, c7_3, c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1 ---------------------------------------- (55) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_app(z0, z1)) -> c3(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0), ENCARG(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(nil), ENCARG(x1)) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ---------------------------------------- (56) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_cons(z0, z1)) -> c4(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_from(z0)) -> c5(FROM(encArg(z0)), ENCARG(z0)) ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0), ENCARG(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(nil), ENCARG(x1)) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c4_3, c5_2, c6_2, c7_3, c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3 ---------------------------------------- (57) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (58) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_cons(z0, z1)) -> c4(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_from(z0)) -> c5(FROM(encArg(z0)), ENCARG(z0)) ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c4_3, c5_2, c6_2, c7_3, c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2 ---------------------------------------- (59) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_cons(z0, z1)) -> c4(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0), ENCARG(nil)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(nil), ENCARG(x1)) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ---------------------------------------- (60) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_from(z0)) -> c5(FROM(encArg(z0)), ENCARG(z0)) ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0), ENCARG(nil)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(nil), ENCARG(x1)) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c5_2, c6_2, c7_3, c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3 ---------------------------------------- (61) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (62) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_from(z0)) -> c5(FROM(encArg(z0)), ENCARG(z0)) ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c5_2, c6_2, c7_3, c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2 ---------------------------------------- (63) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_from(z0)) -> c5(FROM(encArg(z0)), ENCARG(z0)) by ENCARG(cons_from(nil)) -> c5(FROM(nil), ENCARG(nil)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ---------------------------------------- (64) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(nil)) -> c5(FROM(nil), ENCARG(nil)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c6_2, c7_3, c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2 ---------------------------------------- (65) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: ENCARG(cons_from(nil)) -> c5(FROM(nil), ENCARG(nil)) ---------------------------------------- (66) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c6_2, c7_3, c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2 ---------------------------------------- (67) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) by ENCARG(cons_s(nil)) -> c6(S(nil), ENCARG(nil)) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ---------------------------------------- (68) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(nil)) -> c6(S(nil), ENCARG(nil)) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c7_3, c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2 ---------------------------------------- (69) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: ENCARG(cons_s(nil)) -> c6(S(nil), ENCARG(nil)) ---------------------------------------- (70) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c7_3, c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2 ---------------------------------------- (71) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_zWadr(z0, z1)) -> c7(ZWADR(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0), ENCARG(nil)) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(nil), ENCARG(x1)) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ---------------------------------------- (72) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0), ENCARG(nil)) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(nil), ENCARG(x1)) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3 ---------------------------------------- (73) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (74) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ENCARG_1, ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c8_2, c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2 ---------------------------------------- (75) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_prefix(z0)) -> c8(PREFIX(encArg(z0)), ENCARG(z0)) by ENCARG(cons_prefix(nil)) -> c8(PREFIX(nil), ENCARG(nil)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ---------------------------------------- (76) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(nil)) -> c8(PREFIX(nil), ENCARG(nil)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2 ---------------------------------------- (77) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: ENCARG(cons_prefix(nil)) -> c8(PREFIX(nil), ENCARG(nil)) ---------------------------------------- (78) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c25_4, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2 ---------------------------------------- (79) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(app(z0, z1)) -> c25(ACTIVE(app(mark(z0), mark(z1))), APP(mark(z0), mark(z1)), MARK(z0), MARK(z1)) by MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) ---------------------------------------- (80) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c27_3, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4 ---------------------------------------- (81) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(cons(z0, z1)) -> c27(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) by MARK(cons(z0, z1)) -> c27(ACTIVE(cons(z0, z1)), CONS(mark(z0), z1), MARK(z0)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) ---------------------------------------- (82) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(z0, z1)), CONS(mark(z0), z1), MARK(z0)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(z0, z1)) -> c27(ACTIVE(cons(z0, z1)), CONS(mark(z0), z1), MARK(z0)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1 ---------------------------------------- (83) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (84) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c28_3, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2 ---------------------------------------- (85) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(from(z0)) -> c28(ACTIVE(from(mark(z0))), FROM(mark(z0)), MARK(z0)) by MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) ---------------------------------------- (86) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c29_3, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3 ---------------------------------------- (87) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(s(z0)) -> c29(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) by MARK(s(z0)) -> c29(ACTIVE(s(z0)), S(mark(z0)), MARK(z0)) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) ---------------------------------------- (88) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(ACTIVE(s(z0)), S(mark(z0)), MARK(z0)) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(ACTIVE(s(z0)), S(mark(z0)), MARK(z0)) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3 ---------------------------------------- (89) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (90) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c30_4, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2 ---------------------------------------- (91) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(zWadr(z0, z1)) -> c30(ACTIVE(zWadr(mark(z0), mark(z1))), ZWADR(mark(z0), mark(z1)), MARK(z0), MARK(z1)) by MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) ---------------------------------------- (92) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, MARK_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c31_3, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4 ---------------------------------------- (93) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(prefix(z0)) -> c31(ACTIVE(prefix(mark(z0))), PREFIX(mark(z0)), MARK(z0)) by MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ---------------------------------------- (94) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3 ---------------------------------------- (95) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) by ENCODE_ACTIVE(nil) -> c(ACTIVE(nil)) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ---------------------------------------- (96) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(nil) -> c(ACTIVE(nil)) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1, ENCODE_ACTIVE_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3 ---------------------------------------- (97) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: ENCODE_ACTIVE(nil) -> c(ACTIVE(nil)) ---------------------------------------- (98) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1, ENCODE_ACTIVE_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3 ---------------------------------------- (99) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) by ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ---------------------------------------- (100) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_MARK(z0) -> c(MARK(encArg(z0))) ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3 ---------------------------------------- (101) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCODE_MARK(z0) -> c(MARK(encArg(z0))) by ENCODE_MARK(nil) -> c(MARK(nil)) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ---------------------------------------- (102) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(nil) -> c(MARK(nil)) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3 ---------------------------------------- (103) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 1 leading nodes: ENCODE_MARK(nil) -> c(MARK(nil)) ---------------------------------------- (104) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3 ---------------------------------------- (105) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) by ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ---------------------------------------- (106) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_FROM(z0) -> c(FROM(encArg(z0))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3 ---------------------------------------- (107) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCODE_FROM(z0) -> c(FROM(encArg(z0))) by ENCODE_FROM(nil) -> c(FROM(nil)) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ---------------------------------------- (108) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(nil) -> c(FROM(nil)) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3 ---------------------------------------- (109) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: ENCODE_FROM(nil) -> c(FROM(nil)) ---------------------------------------- (110) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3 ---------------------------------------- (111) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCODE_S(z0) -> c(S(encArg(z0))) by ENCODE_S(nil) -> c(S(nil)) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ---------------------------------------- (112) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(nil) -> c(S(nil)) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3 ---------------------------------------- (113) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: ENCODE_S(nil) -> c(S(nil)) ---------------------------------------- (114) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3 ---------------------------------------- (115) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCODE_ZWADR(z0, z1) -> c(ZWADR(encArg(z0), encArg(z1))) by ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ---------------------------------------- (116) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCODE_PREFIX_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c_1, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3 ---------------------------------------- (117) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCODE_PREFIX(z0) -> c(PREFIX(encArg(z0))) by ENCODE_PREFIX(nil) -> c(PREFIX(nil)) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ---------------------------------------- (118) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(nil) -> c(PREFIX(nil)) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1 ---------------------------------------- (119) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: ENCODE_PREFIX(nil) -> c(PREFIX(nil)) ---------------------------------------- (120) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1 ---------------------------------------- (121) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_active(cons_active(z0))) -> c1(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) by ENCARG(cons_active(cons_active(nil))) -> c1(ACTIVE(active(nil)), ENCARG(cons_active(nil))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ---------------------------------------- (122) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(nil))) -> c1(ACTIVE(active(nil)), ENCARG(cons_active(nil))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1 ---------------------------------------- (123) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: ENCARG(cons_active(cons_active(nil))) -> c1(ACTIVE(active(nil)), ENCARG(cons_active(nil))) ---------------------------------------- (124) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1 ---------------------------------------- (125) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_active(cons_mark(z0))) -> c1(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) by ENCARG(cons_active(cons_mark(nil))) -> c1(ACTIVE(mark(nil)), ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ---------------------------------------- (126) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c1(ACTIVE(mark(nil)), ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1 ---------------------------------------- (127) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (128) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1 ---------------------------------------- (129) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_active(cons_app(z0, z1))) -> c1(ACTIVE(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) by ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ---------------------------------------- (130) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1 ---------------------------------------- (131) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_active(cons_cons(z0, z1))) -> c1(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) by ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ---------------------------------------- (132) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1 ---------------------------------------- (133) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_active(cons_s(z0))) -> c1(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) by ENCARG(cons_active(cons_s(nil))) -> c1(ACTIVE(s(nil)), ENCARG(cons_s(nil))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ---------------------------------------- (134) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(nil))) -> c1(ACTIVE(s(nil)), ENCARG(cons_s(nil))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1 ---------------------------------------- (135) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: ENCARG(cons_active(cons_s(nil))) -> c1(ACTIVE(s(nil)), ENCARG(cons_s(nil))) ---------------------------------------- (136) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1 ---------------------------------------- (137) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_active(cons_zWadr(z0, z1))) -> c1(ACTIVE(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) by ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ---------------------------------------- (138) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1 ---------------------------------------- (139) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_mark(cons_active(z0))) -> c2(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) by ENCARG(cons_mark(cons_active(nil))) -> c2(MARK(active(nil)), ENCARG(cons_active(nil))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ---------------------------------------- (140) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(nil))) -> c2(MARK(active(nil)), ENCARG(cons_active(nil))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1 ---------------------------------------- (141) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: ENCARG(cons_mark(cons_active(nil))) -> c2(MARK(active(nil)), ENCARG(cons_active(nil))) ---------------------------------------- (142) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1 ---------------------------------------- (143) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_mark(cons_mark(z0))) -> c2(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) by ENCARG(cons_mark(cons_mark(nil))) -> c2(MARK(mark(nil)), ENCARG(cons_mark(nil))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ---------------------------------------- (144) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c2(MARK(mark(nil)), ENCARG(cons_mark(nil))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1 ---------------------------------------- (145) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (146) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (147) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_app(x0, cons_app(z0, z1))) -> c3(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) by ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(nil), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ---------------------------------------- (148) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(nil), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (149) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (150) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(cons_app(x1, x2))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (151) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_app(x0, cons_cons(z0, z1))) -> c3(APP(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) by ENCARG(cons_app(x0, cons_cons(x1, nil))) -> c3(APP(encArg(x0), cons(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_cons(x1, nil))) ENCARG(cons_app(x0, cons_cons(x1, cons_active(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_from(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_s(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_cons(nil, x2))) -> c3(APP(encArg(x0), cons(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_cons(nil, x2))) ENCARG(cons_app(x0, cons_cons(cons_active(z0), x2))) -> c3(APP(encArg(x0), cons(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_mark(z0), x2))) -> c3(APP(encArg(x0), cons(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), cons(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_from(z0), x2))) -> c3(APP(encArg(x0), cons(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_s(z0), x2))) -> c3(APP(encArg(x0), cons(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), cons(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), cons(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_prefix(z0), x2))) ENCARG(cons_app(nil, cons_cons(x1, x2))) -> c3(APP(nil, cons(encArg(x1), encArg(x2))), ENCARG(nil), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_active(z0), cons_cons(x1, x2))) -> c3(APP(active(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_cons(x1, x2))) -> c3(APP(mark(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_cons(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_cons(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_cons(x1, x2))) -> c3(APP(from(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_cons(x1, x2))) -> c3(APP(s(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_cons(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_cons(x1, x2))) -> c3(APP(prefix(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_cons(x1, x2))) ---------------------------------------- (152) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(x0, cons_cons(x1, nil))) -> c3(APP(encArg(x0), cons(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_cons(x1, nil))) ENCARG(cons_app(x0, cons_cons(x1, cons_active(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_from(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_s(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_cons(nil, x2))) -> c3(APP(encArg(x0), cons(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_cons(nil, x2))) ENCARG(cons_app(x0, cons_cons(cons_active(z0), x2))) -> c3(APP(encArg(x0), cons(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_mark(z0), x2))) -> c3(APP(encArg(x0), cons(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), cons(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_from(z0), x2))) -> c3(APP(encArg(x0), cons(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_s(z0), x2))) -> c3(APP(encArg(x0), cons(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), cons(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), cons(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_prefix(z0), x2))) ENCARG(cons_app(nil, cons_cons(x1, x2))) -> c3(APP(nil, cons(encArg(x1), encArg(x2))), ENCARG(nil), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_active(z0), cons_cons(x1, x2))) -> c3(APP(active(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_cons(x1, x2))) -> c3(APP(mark(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_cons(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_cons(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_cons(x1, x2))) -> c3(APP(from(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_cons(x1, x2))) -> c3(APP(s(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_cons(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_cons(x1, x2))) -> c3(APP(prefix(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_cons(x1, x2))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (153) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (154) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(x0, cons_cons(x1, nil))) -> c3(APP(encArg(x0), cons(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_cons(x1, nil))) ENCARG(cons_app(x0, cons_cons(x1, cons_active(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_from(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_s(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_cons(nil, x2))) -> c3(APP(encArg(x0), cons(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_cons(nil, x2))) ENCARG(cons_app(x0, cons_cons(cons_active(z0), x2))) -> c3(APP(encArg(x0), cons(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_mark(z0), x2))) -> c3(APP(encArg(x0), cons(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), cons(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_from(z0), x2))) -> c3(APP(encArg(x0), cons(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_s(z0), x2))) -> c3(APP(encArg(x0), cons(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), cons(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), cons(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_cons(x1, x2))) -> c3(APP(active(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_cons(x1, x2))) -> c3(APP(mark(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_cons(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_cons(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_cons(x1, x2))) -> c3(APP(from(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_cons(x1, x2))) -> c3(APP(s(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_cons(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_cons(x1, x2))) -> c3(APP(prefix(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(nil, cons_cons(x1, x2))) -> c3(APP(nil, cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(x1, x2))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (155) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_app(x0, cons_from(z0))) -> c3(APP(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) by ENCARG(cons_app(x0, cons_from(nil))) -> c3(APP(encArg(x0), from(nil)), ENCARG(x0), ENCARG(cons_from(nil))) ENCARG(cons_app(x0, cons_from(cons_active(z0)))) -> c3(APP(encArg(x0), from(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_active(z0)))) ENCARG(cons_app(x0, cons_from(cons_mark(z0)))) -> c3(APP(encArg(x0), from(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_mark(z0)))) ENCARG(cons_app(x0, cons_from(cons_app(z0, z1)))) -> c3(APP(encArg(x0), from(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), from(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_from(z0)))) -> c3(APP(encArg(x0), from(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_from(z0)))) ENCARG(cons_app(x0, cons_from(cons_s(z0)))) -> c3(APP(encArg(x0), from(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_s(z0)))) ENCARG(cons_app(x0, cons_from(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), from(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_prefix(z0)))) -> c3(APP(encArg(x0), from(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_prefix(z0)))) ENCARG(cons_app(nil, cons_from(x1))) -> c3(APP(nil, from(encArg(x1))), ENCARG(nil), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_active(z0), cons_from(x1))) -> c3(APP(active(encArg(z0)), from(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_mark(z0), cons_from(x1))) -> c3(APP(mark(encArg(z0)), from(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_from(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_from(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_from(z0), cons_from(x1))) -> c3(APP(from(encArg(z0)), from(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_s(z0), cons_from(x1))) -> c3(APP(s(encArg(z0)), from(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_from(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_prefix(z0), cons_from(x1))) -> c3(APP(prefix(encArg(z0)), from(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_from(x1))) ---------------------------------------- (156) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(x0, cons_cons(x1, nil))) -> c3(APP(encArg(x0), cons(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_cons(x1, nil))) ENCARG(cons_app(x0, cons_cons(x1, cons_active(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_from(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_s(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_cons(nil, x2))) -> c3(APP(encArg(x0), cons(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_cons(nil, x2))) ENCARG(cons_app(x0, cons_cons(cons_active(z0), x2))) -> c3(APP(encArg(x0), cons(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_mark(z0), x2))) -> c3(APP(encArg(x0), cons(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), cons(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_from(z0), x2))) -> c3(APP(encArg(x0), cons(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_s(z0), x2))) -> c3(APP(encArg(x0), cons(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), cons(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), cons(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_cons(x1, x2))) -> c3(APP(active(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_cons(x1, x2))) -> c3(APP(mark(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_cons(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_cons(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_cons(x1, x2))) -> c3(APP(from(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_cons(x1, x2))) -> c3(APP(s(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_cons(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_cons(x1, x2))) -> c3(APP(prefix(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(nil, cons_cons(x1, x2))) -> c3(APP(nil, cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(x0, cons_from(nil))) -> c3(APP(encArg(x0), from(nil)), ENCARG(x0), ENCARG(cons_from(nil))) ENCARG(cons_app(x0, cons_from(cons_active(z0)))) -> c3(APP(encArg(x0), from(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_active(z0)))) ENCARG(cons_app(x0, cons_from(cons_mark(z0)))) -> c3(APP(encArg(x0), from(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_mark(z0)))) ENCARG(cons_app(x0, cons_from(cons_app(z0, z1)))) -> c3(APP(encArg(x0), from(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), from(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_from(z0)))) -> c3(APP(encArg(x0), from(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_from(z0)))) ENCARG(cons_app(x0, cons_from(cons_s(z0)))) -> c3(APP(encArg(x0), from(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_s(z0)))) ENCARG(cons_app(x0, cons_from(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), from(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_prefix(z0)))) -> c3(APP(encArg(x0), from(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_prefix(z0)))) ENCARG(cons_app(nil, cons_from(x1))) -> c3(APP(nil, from(encArg(x1))), ENCARG(nil), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_active(z0), cons_from(x1))) -> c3(APP(active(encArg(z0)), from(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_mark(z0), cons_from(x1))) -> c3(APP(mark(encArg(z0)), from(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_from(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_from(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_from(z0), cons_from(x1))) -> c3(APP(from(encArg(z0)), from(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_s(z0), cons_from(x1))) -> c3(APP(s(encArg(z0)), from(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_from(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_prefix(z0), cons_from(x1))) -> c3(APP(prefix(encArg(z0)), from(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_from(x1))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (157) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (158) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(x0, cons_cons(x1, nil))) -> c3(APP(encArg(x0), cons(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_cons(x1, nil))) ENCARG(cons_app(x0, cons_cons(x1, cons_active(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_from(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_s(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_cons(nil, x2))) -> c3(APP(encArg(x0), cons(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_cons(nil, x2))) ENCARG(cons_app(x0, cons_cons(cons_active(z0), x2))) -> c3(APP(encArg(x0), cons(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_mark(z0), x2))) -> c3(APP(encArg(x0), cons(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), cons(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_from(z0), x2))) -> c3(APP(encArg(x0), cons(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_s(z0), x2))) -> c3(APP(encArg(x0), cons(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), cons(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), cons(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_cons(x1, x2))) -> c3(APP(active(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_cons(x1, x2))) -> c3(APP(mark(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_cons(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_cons(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_cons(x1, x2))) -> c3(APP(from(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_cons(x1, x2))) -> c3(APP(s(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_cons(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_cons(x1, x2))) -> c3(APP(prefix(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(nil, cons_cons(x1, x2))) -> c3(APP(nil, cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(x0, cons_from(cons_active(z0)))) -> c3(APP(encArg(x0), from(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_active(z0)))) ENCARG(cons_app(x0, cons_from(cons_mark(z0)))) -> c3(APP(encArg(x0), from(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_mark(z0)))) ENCARG(cons_app(x0, cons_from(cons_app(z0, z1)))) -> c3(APP(encArg(x0), from(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), from(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_from(z0)))) -> c3(APP(encArg(x0), from(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_from(z0)))) ENCARG(cons_app(x0, cons_from(cons_s(z0)))) -> c3(APP(encArg(x0), from(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_s(z0)))) ENCARG(cons_app(x0, cons_from(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), from(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_prefix(z0)))) -> c3(APP(encArg(x0), from(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_from(x1))) -> c3(APP(active(encArg(z0)), from(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_mark(z0), cons_from(x1))) -> c3(APP(mark(encArg(z0)), from(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_from(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_from(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_from(z0), cons_from(x1))) -> c3(APP(from(encArg(z0)), from(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_s(z0), cons_from(x1))) -> c3(APP(s(encArg(z0)), from(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_from(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_prefix(z0), cons_from(x1))) -> c3(APP(prefix(encArg(z0)), from(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_from(nil))) -> c3(APP(encArg(x0), from(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_from(x1))) -> c3(APP(nil, from(encArg(x1))), ENCARG(cons_from(x1))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (159) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_app(x0, cons_s(z0))) -> c3(APP(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) by ENCARG(cons_app(x0, cons_s(nil))) -> c3(APP(encArg(x0), s(nil)), ENCARG(x0), ENCARG(cons_s(nil))) ENCARG(cons_app(x0, cons_s(cons_active(z0)))) -> c3(APP(encArg(x0), s(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_app(x0, cons_s(cons_mark(z0)))) -> c3(APP(encArg(x0), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_app(x0, cons_s(cons_app(z0, z1)))) -> c3(APP(encArg(x0), s(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_from(z0)))) -> c3(APP(encArg(x0), s(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_app(x0, cons_s(cons_s(z0)))) -> c3(APP(encArg(x0), s(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_app(x0, cons_s(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), s(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_prefix(z0)))) -> c3(APP(encArg(x0), s(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_app(nil, cons_s(x1))) -> c3(APP(nil, s(encArg(x1))), ENCARG(nil), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_active(z0), cons_s(x1))) -> c3(APP(active(encArg(z0)), s(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_mark(z0), cons_s(x1))) -> c3(APP(mark(encArg(z0)), s(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_s(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_s(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_from(z0), cons_s(x1))) -> c3(APP(from(encArg(z0)), s(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_s(z0), cons_s(x1))) -> c3(APP(s(encArg(z0)), s(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_s(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_prefix(z0), cons_s(x1))) -> c3(APP(prefix(encArg(z0)), s(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_s(x1))) ---------------------------------------- (160) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(x0, cons_cons(x1, nil))) -> c3(APP(encArg(x0), cons(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_cons(x1, nil))) ENCARG(cons_app(x0, cons_cons(x1, cons_active(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_from(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_s(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_cons(nil, x2))) -> c3(APP(encArg(x0), cons(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_cons(nil, x2))) ENCARG(cons_app(x0, cons_cons(cons_active(z0), x2))) -> c3(APP(encArg(x0), cons(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_mark(z0), x2))) -> c3(APP(encArg(x0), cons(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), cons(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_from(z0), x2))) -> c3(APP(encArg(x0), cons(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_s(z0), x2))) -> c3(APP(encArg(x0), cons(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), cons(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), cons(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_cons(x1, x2))) -> c3(APP(active(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_cons(x1, x2))) -> c3(APP(mark(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_cons(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_cons(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_cons(x1, x2))) -> c3(APP(from(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_cons(x1, x2))) -> c3(APP(s(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_cons(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_cons(x1, x2))) -> c3(APP(prefix(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(nil, cons_cons(x1, x2))) -> c3(APP(nil, cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(x0, cons_from(cons_active(z0)))) -> c3(APP(encArg(x0), from(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_active(z0)))) ENCARG(cons_app(x0, cons_from(cons_mark(z0)))) -> c3(APP(encArg(x0), from(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_mark(z0)))) ENCARG(cons_app(x0, cons_from(cons_app(z0, z1)))) -> c3(APP(encArg(x0), from(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), from(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_from(z0)))) -> c3(APP(encArg(x0), from(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_from(z0)))) ENCARG(cons_app(x0, cons_from(cons_s(z0)))) -> c3(APP(encArg(x0), from(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_s(z0)))) ENCARG(cons_app(x0, cons_from(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), from(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_prefix(z0)))) -> c3(APP(encArg(x0), from(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_from(x1))) -> c3(APP(active(encArg(z0)), from(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_mark(z0), cons_from(x1))) -> c3(APP(mark(encArg(z0)), from(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_from(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_from(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_from(z0), cons_from(x1))) -> c3(APP(from(encArg(z0)), from(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_s(z0), cons_from(x1))) -> c3(APP(s(encArg(z0)), from(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_from(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_prefix(z0), cons_from(x1))) -> c3(APP(prefix(encArg(z0)), from(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_from(nil))) -> c3(APP(encArg(x0), from(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_from(x1))) -> c3(APP(nil, from(encArg(x1))), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_s(nil))) -> c3(APP(encArg(x0), s(nil)), ENCARG(x0), ENCARG(cons_s(nil))) ENCARG(cons_app(x0, cons_s(cons_active(z0)))) -> c3(APP(encArg(x0), s(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_app(x0, cons_s(cons_mark(z0)))) -> c3(APP(encArg(x0), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_app(x0, cons_s(cons_app(z0, z1)))) -> c3(APP(encArg(x0), s(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_from(z0)))) -> c3(APP(encArg(x0), s(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_app(x0, cons_s(cons_s(z0)))) -> c3(APP(encArg(x0), s(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_app(x0, cons_s(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), s(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_prefix(z0)))) -> c3(APP(encArg(x0), s(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_app(nil, cons_s(x1))) -> c3(APP(nil, s(encArg(x1))), ENCARG(nil), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_active(z0), cons_s(x1))) -> c3(APP(active(encArg(z0)), s(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_mark(z0), cons_s(x1))) -> c3(APP(mark(encArg(z0)), s(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_s(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_s(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_from(z0), cons_s(x1))) -> c3(APP(from(encArg(z0)), s(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_s(z0), cons_s(x1))) -> c3(APP(s(encArg(z0)), s(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_s(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_prefix(z0), cons_s(x1))) -> c3(APP(prefix(encArg(z0)), s(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_s(x1))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (161) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (162) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(x0, cons_cons(x1, nil))) -> c3(APP(encArg(x0), cons(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_cons(x1, nil))) ENCARG(cons_app(x0, cons_cons(x1, cons_active(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_from(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_s(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_cons(nil, x2))) -> c3(APP(encArg(x0), cons(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_cons(nil, x2))) ENCARG(cons_app(x0, cons_cons(cons_active(z0), x2))) -> c3(APP(encArg(x0), cons(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_mark(z0), x2))) -> c3(APP(encArg(x0), cons(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), cons(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_from(z0), x2))) -> c3(APP(encArg(x0), cons(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_s(z0), x2))) -> c3(APP(encArg(x0), cons(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), cons(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), cons(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_cons(x1, x2))) -> c3(APP(active(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_cons(x1, x2))) -> c3(APP(mark(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_cons(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_cons(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_cons(x1, x2))) -> c3(APP(from(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_cons(x1, x2))) -> c3(APP(s(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_cons(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_cons(x1, x2))) -> c3(APP(prefix(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(nil, cons_cons(x1, x2))) -> c3(APP(nil, cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(x0, cons_from(cons_active(z0)))) -> c3(APP(encArg(x0), from(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_active(z0)))) ENCARG(cons_app(x0, cons_from(cons_mark(z0)))) -> c3(APP(encArg(x0), from(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_mark(z0)))) ENCARG(cons_app(x0, cons_from(cons_app(z0, z1)))) -> c3(APP(encArg(x0), from(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), from(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_from(z0)))) -> c3(APP(encArg(x0), from(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_from(z0)))) ENCARG(cons_app(x0, cons_from(cons_s(z0)))) -> c3(APP(encArg(x0), from(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_s(z0)))) ENCARG(cons_app(x0, cons_from(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), from(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_prefix(z0)))) -> c3(APP(encArg(x0), from(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_from(x1))) -> c3(APP(active(encArg(z0)), from(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_mark(z0), cons_from(x1))) -> c3(APP(mark(encArg(z0)), from(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_from(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_from(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_from(z0), cons_from(x1))) -> c3(APP(from(encArg(z0)), from(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_s(z0), cons_from(x1))) -> c3(APP(s(encArg(z0)), from(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_from(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_prefix(z0), cons_from(x1))) -> c3(APP(prefix(encArg(z0)), from(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_from(nil))) -> c3(APP(encArg(x0), from(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_from(x1))) -> c3(APP(nil, from(encArg(x1))), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_s(cons_active(z0)))) -> c3(APP(encArg(x0), s(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_app(x0, cons_s(cons_mark(z0)))) -> c3(APP(encArg(x0), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_app(x0, cons_s(cons_app(z0, z1)))) -> c3(APP(encArg(x0), s(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_from(z0)))) -> c3(APP(encArg(x0), s(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_app(x0, cons_s(cons_s(z0)))) -> c3(APP(encArg(x0), s(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_app(x0, cons_s(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), s(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_prefix(z0)))) -> c3(APP(encArg(x0), s(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_s(x1))) -> c3(APP(active(encArg(z0)), s(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_mark(z0), cons_s(x1))) -> c3(APP(mark(encArg(z0)), s(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_s(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_s(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_from(z0), cons_s(x1))) -> c3(APP(from(encArg(z0)), s(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_s(z0), cons_s(x1))) -> c3(APP(s(encArg(z0)), s(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_s(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_prefix(z0), cons_s(x1))) -> c3(APP(prefix(encArg(z0)), s(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_s(nil))) -> c3(APP(encArg(x0), s(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_s(x1))) -> c3(APP(nil, s(encArg(x1))), ENCARG(cons_s(x1))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (163) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_app(x0, cons_zWadr(z0, z1))) -> c3(APP(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) by ENCARG(cons_app(x0, cons_zWadr(x1, nil))) -> c3(APP(encArg(x0), zWadr(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_zWadr(x1, nil))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_active(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_from(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_s(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_zWadr(nil, x2))) -> c3(APP(encArg(x0), zWadr(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(nil, x2))) ENCARG(cons_app(x0, cons_zWadr(cons_active(z0), x2))) -> c3(APP(encArg(x0), zWadr(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_mark(z0), x2))) -> c3(APP(encArg(x0), zWadr(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_from(z0), x2))) -> c3(APP(encArg(x0), zWadr(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_s(z0), x2))) -> c3(APP(encArg(x0), zWadr(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), zWadr(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_prefix(z0), x2))) ENCARG(cons_app(nil, cons_zWadr(x1, x2))) -> c3(APP(nil, zWadr(encArg(x1), encArg(x2))), ENCARG(nil), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_active(z0), cons_zWadr(x1, x2))) -> c3(APP(active(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_zWadr(x1, x2))) -> c3(APP(mark(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_zWadr(x1, x2))) -> c3(APP(from(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_zWadr(x1, x2))) -> c3(APP(s(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_zWadr(x1, x2))) -> c3(APP(prefix(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_zWadr(x1, x2))) ---------------------------------------- (164) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(x0, cons_cons(x1, nil))) -> c3(APP(encArg(x0), cons(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_cons(x1, nil))) ENCARG(cons_app(x0, cons_cons(x1, cons_active(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_from(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_s(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_cons(nil, x2))) -> c3(APP(encArg(x0), cons(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_cons(nil, x2))) ENCARG(cons_app(x0, cons_cons(cons_active(z0), x2))) -> c3(APP(encArg(x0), cons(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_mark(z0), x2))) -> c3(APP(encArg(x0), cons(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), cons(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_from(z0), x2))) -> c3(APP(encArg(x0), cons(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_s(z0), x2))) -> c3(APP(encArg(x0), cons(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), cons(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), cons(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_cons(x1, x2))) -> c3(APP(active(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_cons(x1, x2))) -> c3(APP(mark(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_cons(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_cons(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_cons(x1, x2))) -> c3(APP(from(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_cons(x1, x2))) -> c3(APP(s(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_cons(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_cons(x1, x2))) -> c3(APP(prefix(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(nil, cons_cons(x1, x2))) -> c3(APP(nil, cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(x0, cons_from(cons_active(z0)))) -> c3(APP(encArg(x0), from(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_active(z0)))) ENCARG(cons_app(x0, cons_from(cons_mark(z0)))) -> c3(APP(encArg(x0), from(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_mark(z0)))) ENCARG(cons_app(x0, cons_from(cons_app(z0, z1)))) -> c3(APP(encArg(x0), from(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), from(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_from(z0)))) -> c3(APP(encArg(x0), from(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_from(z0)))) ENCARG(cons_app(x0, cons_from(cons_s(z0)))) -> c3(APP(encArg(x0), from(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_s(z0)))) ENCARG(cons_app(x0, cons_from(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), from(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_prefix(z0)))) -> c3(APP(encArg(x0), from(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_from(x1))) -> c3(APP(active(encArg(z0)), from(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_mark(z0), cons_from(x1))) -> c3(APP(mark(encArg(z0)), from(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_from(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_from(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_from(z0), cons_from(x1))) -> c3(APP(from(encArg(z0)), from(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_s(z0), cons_from(x1))) -> c3(APP(s(encArg(z0)), from(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_from(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_prefix(z0), cons_from(x1))) -> c3(APP(prefix(encArg(z0)), from(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_from(nil))) -> c3(APP(encArg(x0), from(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_from(x1))) -> c3(APP(nil, from(encArg(x1))), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_s(cons_active(z0)))) -> c3(APP(encArg(x0), s(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_app(x0, cons_s(cons_mark(z0)))) -> c3(APP(encArg(x0), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_app(x0, cons_s(cons_app(z0, z1)))) -> c3(APP(encArg(x0), s(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_from(z0)))) -> c3(APP(encArg(x0), s(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_app(x0, cons_s(cons_s(z0)))) -> c3(APP(encArg(x0), s(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_app(x0, cons_s(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), s(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_prefix(z0)))) -> c3(APP(encArg(x0), s(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_s(x1))) -> c3(APP(active(encArg(z0)), s(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_mark(z0), cons_s(x1))) -> c3(APP(mark(encArg(z0)), s(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_s(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_s(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_from(z0), cons_s(x1))) -> c3(APP(from(encArg(z0)), s(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_s(z0), cons_s(x1))) -> c3(APP(s(encArg(z0)), s(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_s(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_prefix(z0), cons_s(x1))) -> c3(APP(prefix(encArg(z0)), s(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_s(nil))) -> c3(APP(encArg(x0), s(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_s(x1))) -> c3(APP(nil, s(encArg(x1))), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_zWadr(x1, nil))) -> c3(APP(encArg(x0), zWadr(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_zWadr(x1, nil))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_active(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_from(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_s(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_zWadr(nil, x2))) -> c3(APP(encArg(x0), zWadr(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(nil, x2))) ENCARG(cons_app(x0, cons_zWadr(cons_active(z0), x2))) -> c3(APP(encArg(x0), zWadr(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_mark(z0), x2))) -> c3(APP(encArg(x0), zWadr(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_from(z0), x2))) -> c3(APP(encArg(x0), zWadr(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_s(z0), x2))) -> c3(APP(encArg(x0), zWadr(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), zWadr(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_prefix(z0), x2))) ENCARG(cons_app(nil, cons_zWadr(x1, x2))) -> c3(APP(nil, zWadr(encArg(x1), encArg(x2))), ENCARG(nil), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_active(z0), cons_zWadr(x1, x2))) -> c3(APP(active(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_zWadr(x1, x2))) -> c3(APP(mark(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_zWadr(x1, x2))) -> c3(APP(from(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_zWadr(x1, x2))) -> c3(APP(s(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_zWadr(x1, x2))) -> c3(APP(prefix(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_zWadr(x1, x2))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (165) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (166) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(x0, cons_cons(x1, nil))) -> c3(APP(encArg(x0), cons(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_cons(x1, nil))) ENCARG(cons_app(x0, cons_cons(x1, cons_active(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_from(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_s(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_cons(nil, x2))) -> c3(APP(encArg(x0), cons(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_cons(nil, x2))) ENCARG(cons_app(x0, cons_cons(cons_active(z0), x2))) -> c3(APP(encArg(x0), cons(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_mark(z0), x2))) -> c3(APP(encArg(x0), cons(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), cons(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_from(z0), x2))) -> c3(APP(encArg(x0), cons(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_s(z0), x2))) -> c3(APP(encArg(x0), cons(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), cons(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), cons(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_cons(x1, x2))) -> c3(APP(active(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_cons(x1, x2))) -> c3(APP(mark(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_cons(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_cons(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_cons(x1, x2))) -> c3(APP(from(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_cons(x1, x2))) -> c3(APP(s(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_cons(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_cons(x1, x2))) -> c3(APP(prefix(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(nil, cons_cons(x1, x2))) -> c3(APP(nil, cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(x0, cons_from(cons_active(z0)))) -> c3(APP(encArg(x0), from(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_active(z0)))) ENCARG(cons_app(x0, cons_from(cons_mark(z0)))) -> c3(APP(encArg(x0), from(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_mark(z0)))) ENCARG(cons_app(x0, cons_from(cons_app(z0, z1)))) -> c3(APP(encArg(x0), from(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), from(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_from(z0)))) -> c3(APP(encArg(x0), from(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_from(z0)))) ENCARG(cons_app(x0, cons_from(cons_s(z0)))) -> c3(APP(encArg(x0), from(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_s(z0)))) ENCARG(cons_app(x0, cons_from(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), from(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_prefix(z0)))) -> c3(APP(encArg(x0), from(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_from(x1))) -> c3(APP(active(encArg(z0)), from(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_mark(z0), cons_from(x1))) -> c3(APP(mark(encArg(z0)), from(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_from(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_from(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_from(z0), cons_from(x1))) -> c3(APP(from(encArg(z0)), from(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_s(z0), cons_from(x1))) -> c3(APP(s(encArg(z0)), from(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_from(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_prefix(z0), cons_from(x1))) -> c3(APP(prefix(encArg(z0)), from(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_from(nil))) -> c3(APP(encArg(x0), from(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_from(x1))) -> c3(APP(nil, from(encArg(x1))), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_s(cons_active(z0)))) -> c3(APP(encArg(x0), s(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_app(x0, cons_s(cons_mark(z0)))) -> c3(APP(encArg(x0), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_app(x0, cons_s(cons_app(z0, z1)))) -> c3(APP(encArg(x0), s(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_from(z0)))) -> c3(APP(encArg(x0), s(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_app(x0, cons_s(cons_s(z0)))) -> c3(APP(encArg(x0), s(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_app(x0, cons_s(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), s(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_prefix(z0)))) -> c3(APP(encArg(x0), s(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_s(x1))) -> c3(APP(active(encArg(z0)), s(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_mark(z0), cons_s(x1))) -> c3(APP(mark(encArg(z0)), s(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_s(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_s(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_from(z0), cons_s(x1))) -> c3(APP(from(encArg(z0)), s(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_s(z0), cons_s(x1))) -> c3(APP(s(encArg(z0)), s(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_s(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_prefix(z0), cons_s(x1))) -> c3(APP(prefix(encArg(z0)), s(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_s(nil))) -> c3(APP(encArg(x0), s(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_s(x1))) -> c3(APP(nil, s(encArg(x1))), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_zWadr(x1, nil))) -> c3(APP(encArg(x0), zWadr(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_zWadr(x1, nil))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_active(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_from(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_s(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_zWadr(nil, x2))) -> c3(APP(encArg(x0), zWadr(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(nil, x2))) ENCARG(cons_app(x0, cons_zWadr(cons_active(z0), x2))) -> c3(APP(encArg(x0), zWadr(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_mark(z0), x2))) -> c3(APP(encArg(x0), zWadr(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_from(z0), x2))) -> c3(APP(encArg(x0), zWadr(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_s(z0), x2))) -> c3(APP(encArg(x0), zWadr(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), zWadr(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_zWadr(x1, x2))) -> c3(APP(active(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_zWadr(x1, x2))) -> c3(APP(mark(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_zWadr(x1, x2))) -> c3(APP(from(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_zWadr(x1, x2))) -> c3(APP(s(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_zWadr(x1, x2))) -> c3(APP(prefix(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(nil, cons_zWadr(x1, x2))) -> c3(APP(nil, zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(x1, x2))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (167) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_app(x0, cons_prefix(z0))) -> c3(APP(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) by ENCARG(cons_app(x0, cons_prefix(nil))) -> c3(APP(encArg(x0), prefix(nil)), ENCARG(x0), ENCARG(cons_prefix(nil))) ENCARG(cons_app(x0, cons_prefix(cons_active(z0)))) -> c3(APP(encArg(x0), prefix(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_active(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_mark(z0)))) -> c3(APP(encArg(x0), prefix(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_mark(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_app(z0, z1)))) -> c3(APP(encArg(x0), prefix(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), prefix(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_from(z0)))) -> c3(APP(encArg(x0), prefix(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_from(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_s(z0)))) -> c3(APP(encArg(x0), prefix(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_s(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), prefix(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_prefix(z0)))) -> c3(APP(encArg(x0), prefix(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_prefix(z0)))) ENCARG(cons_app(nil, cons_prefix(x1))) -> c3(APP(nil, prefix(encArg(x1))), ENCARG(nil), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_active(z0), cons_prefix(x1))) -> c3(APP(active(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_mark(z0), cons_prefix(x1))) -> c3(APP(mark(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_prefix(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_prefix(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_from(z0), cons_prefix(x1))) -> c3(APP(from(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_s(z0), cons_prefix(x1))) -> c3(APP(s(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_prefix(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_prefix(z0), cons_prefix(x1))) -> c3(APP(prefix(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_prefix(x1))) ---------------------------------------- (168) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(x0, cons_cons(x1, nil))) -> c3(APP(encArg(x0), cons(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_cons(x1, nil))) ENCARG(cons_app(x0, cons_cons(x1, cons_active(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_from(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_s(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_cons(nil, x2))) -> c3(APP(encArg(x0), cons(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_cons(nil, x2))) ENCARG(cons_app(x0, cons_cons(cons_active(z0), x2))) -> c3(APP(encArg(x0), cons(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_mark(z0), x2))) -> c3(APP(encArg(x0), cons(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), cons(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_from(z0), x2))) -> c3(APP(encArg(x0), cons(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_s(z0), x2))) -> c3(APP(encArg(x0), cons(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), cons(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), cons(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_cons(x1, x2))) -> c3(APP(active(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_cons(x1, x2))) -> c3(APP(mark(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_cons(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_cons(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_cons(x1, x2))) -> c3(APP(from(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_cons(x1, x2))) -> c3(APP(s(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_cons(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_cons(x1, x2))) -> c3(APP(prefix(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(nil, cons_cons(x1, x2))) -> c3(APP(nil, cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(x0, cons_from(cons_active(z0)))) -> c3(APP(encArg(x0), from(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_active(z0)))) ENCARG(cons_app(x0, cons_from(cons_mark(z0)))) -> c3(APP(encArg(x0), from(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_mark(z0)))) ENCARG(cons_app(x0, cons_from(cons_app(z0, z1)))) -> c3(APP(encArg(x0), from(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), from(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_from(z0)))) -> c3(APP(encArg(x0), from(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_from(z0)))) ENCARG(cons_app(x0, cons_from(cons_s(z0)))) -> c3(APP(encArg(x0), from(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_s(z0)))) ENCARG(cons_app(x0, cons_from(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), from(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_prefix(z0)))) -> c3(APP(encArg(x0), from(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_from(x1))) -> c3(APP(active(encArg(z0)), from(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_mark(z0), cons_from(x1))) -> c3(APP(mark(encArg(z0)), from(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_from(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_from(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_from(z0), cons_from(x1))) -> c3(APP(from(encArg(z0)), from(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_s(z0), cons_from(x1))) -> c3(APP(s(encArg(z0)), from(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_from(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_prefix(z0), cons_from(x1))) -> c3(APP(prefix(encArg(z0)), from(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_from(nil))) -> c3(APP(encArg(x0), from(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_from(x1))) -> c3(APP(nil, from(encArg(x1))), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_s(cons_active(z0)))) -> c3(APP(encArg(x0), s(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_app(x0, cons_s(cons_mark(z0)))) -> c3(APP(encArg(x0), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_app(x0, cons_s(cons_app(z0, z1)))) -> c3(APP(encArg(x0), s(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_from(z0)))) -> c3(APP(encArg(x0), s(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_app(x0, cons_s(cons_s(z0)))) -> c3(APP(encArg(x0), s(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_app(x0, cons_s(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), s(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_prefix(z0)))) -> c3(APP(encArg(x0), s(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_s(x1))) -> c3(APP(active(encArg(z0)), s(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_mark(z0), cons_s(x1))) -> c3(APP(mark(encArg(z0)), s(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_s(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_s(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_from(z0), cons_s(x1))) -> c3(APP(from(encArg(z0)), s(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_s(z0), cons_s(x1))) -> c3(APP(s(encArg(z0)), s(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_s(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_prefix(z0), cons_s(x1))) -> c3(APP(prefix(encArg(z0)), s(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_s(nil))) -> c3(APP(encArg(x0), s(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_s(x1))) -> c3(APP(nil, s(encArg(x1))), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_zWadr(x1, nil))) -> c3(APP(encArg(x0), zWadr(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_zWadr(x1, nil))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_active(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_from(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_s(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_zWadr(nil, x2))) -> c3(APP(encArg(x0), zWadr(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(nil, x2))) ENCARG(cons_app(x0, cons_zWadr(cons_active(z0), x2))) -> c3(APP(encArg(x0), zWadr(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_mark(z0), x2))) -> c3(APP(encArg(x0), zWadr(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_from(z0), x2))) -> c3(APP(encArg(x0), zWadr(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_s(z0), x2))) -> c3(APP(encArg(x0), zWadr(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), zWadr(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_zWadr(x1, x2))) -> c3(APP(active(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_zWadr(x1, x2))) -> c3(APP(mark(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_zWadr(x1, x2))) -> c3(APP(from(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_zWadr(x1, x2))) -> c3(APP(s(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_zWadr(x1, x2))) -> c3(APP(prefix(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(nil, cons_zWadr(x1, x2))) -> c3(APP(nil, zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(x0, cons_prefix(nil))) -> c3(APP(encArg(x0), prefix(nil)), ENCARG(x0), ENCARG(cons_prefix(nil))) ENCARG(cons_app(x0, cons_prefix(cons_active(z0)))) -> c3(APP(encArg(x0), prefix(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_active(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_mark(z0)))) -> c3(APP(encArg(x0), prefix(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_mark(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_app(z0, z1)))) -> c3(APP(encArg(x0), prefix(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), prefix(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_from(z0)))) -> c3(APP(encArg(x0), prefix(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_from(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_s(z0)))) -> c3(APP(encArg(x0), prefix(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_s(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), prefix(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_prefix(z0)))) -> c3(APP(encArg(x0), prefix(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_prefix(z0)))) ENCARG(cons_app(nil, cons_prefix(x1))) -> c3(APP(nil, prefix(encArg(x1))), ENCARG(nil), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_active(z0), cons_prefix(x1))) -> c3(APP(active(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_mark(z0), cons_prefix(x1))) -> c3(APP(mark(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_prefix(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_prefix(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_from(z0), cons_prefix(x1))) -> c3(APP(from(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_s(z0), cons_prefix(x1))) -> c3(APP(s(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_prefix(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_prefix(z0), cons_prefix(x1))) -> c3(APP(prefix(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_prefix(x1))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (169) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (170) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(x0, cons_cons(x1, nil))) -> c3(APP(encArg(x0), cons(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_cons(x1, nil))) ENCARG(cons_app(x0, cons_cons(x1, cons_active(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_from(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_s(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_cons(nil, x2))) -> c3(APP(encArg(x0), cons(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_cons(nil, x2))) ENCARG(cons_app(x0, cons_cons(cons_active(z0), x2))) -> c3(APP(encArg(x0), cons(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_mark(z0), x2))) -> c3(APP(encArg(x0), cons(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), cons(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_from(z0), x2))) -> c3(APP(encArg(x0), cons(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_s(z0), x2))) -> c3(APP(encArg(x0), cons(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), cons(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), cons(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_cons(x1, x2))) -> c3(APP(active(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_cons(x1, x2))) -> c3(APP(mark(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_cons(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_cons(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_cons(x1, x2))) -> c3(APP(from(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_cons(x1, x2))) -> c3(APP(s(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_cons(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_cons(x1, x2))) -> c3(APP(prefix(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(nil, cons_cons(x1, x2))) -> c3(APP(nil, cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(x0, cons_from(cons_active(z0)))) -> c3(APP(encArg(x0), from(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_active(z0)))) ENCARG(cons_app(x0, cons_from(cons_mark(z0)))) -> c3(APP(encArg(x0), from(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_mark(z0)))) ENCARG(cons_app(x0, cons_from(cons_app(z0, z1)))) -> c3(APP(encArg(x0), from(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), from(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_from(z0)))) -> c3(APP(encArg(x0), from(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_from(z0)))) ENCARG(cons_app(x0, cons_from(cons_s(z0)))) -> c3(APP(encArg(x0), from(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_s(z0)))) ENCARG(cons_app(x0, cons_from(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), from(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_prefix(z0)))) -> c3(APP(encArg(x0), from(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_from(x1))) -> c3(APP(active(encArg(z0)), from(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_mark(z0), cons_from(x1))) -> c3(APP(mark(encArg(z0)), from(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_from(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_from(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_from(z0), cons_from(x1))) -> c3(APP(from(encArg(z0)), from(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_s(z0), cons_from(x1))) -> c3(APP(s(encArg(z0)), from(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_from(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_prefix(z0), cons_from(x1))) -> c3(APP(prefix(encArg(z0)), from(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_from(nil))) -> c3(APP(encArg(x0), from(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_from(x1))) -> c3(APP(nil, from(encArg(x1))), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_s(cons_active(z0)))) -> c3(APP(encArg(x0), s(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_app(x0, cons_s(cons_mark(z0)))) -> c3(APP(encArg(x0), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_app(x0, cons_s(cons_app(z0, z1)))) -> c3(APP(encArg(x0), s(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_from(z0)))) -> c3(APP(encArg(x0), s(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_app(x0, cons_s(cons_s(z0)))) -> c3(APP(encArg(x0), s(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_app(x0, cons_s(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), s(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_prefix(z0)))) -> c3(APP(encArg(x0), s(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_s(x1))) -> c3(APP(active(encArg(z0)), s(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_mark(z0), cons_s(x1))) -> c3(APP(mark(encArg(z0)), s(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_s(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_s(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_from(z0), cons_s(x1))) -> c3(APP(from(encArg(z0)), s(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_s(z0), cons_s(x1))) -> c3(APP(s(encArg(z0)), s(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_s(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_prefix(z0), cons_s(x1))) -> c3(APP(prefix(encArg(z0)), s(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_s(nil))) -> c3(APP(encArg(x0), s(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_s(x1))) -> c3(APP(nil, s(encArg(x1))), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_zWadr(x1, nil))) -> c3(APP(encArg(x0), zWadr(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_zWadr(x1, nil))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_active(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_from(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_s(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_zWadr(nil, x2))) -> c3(APP(encArg(x0), zWadr(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(nil, x2))) ENCARG(cons_app(x0, cons_zWadr(cons_active(z0), x2))) -> c3(APP(encArg(x0), zWadr(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_mark(z0), x2))) -> c3(APP(encArg(x0), zWadr(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_from(z0), x2))) -> c3(APP(encArg(x0), zWadr(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_s(z0), x2))) -> c3(APP(encArg(x0), zWadr(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), zWadr(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_zWadr(x1, x2))) -> c3(APP(active(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_zWadr(x1, x2))) -> c3(APP(mark(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_zWadr(x1, x2))) -> c3(APP(from(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_zWadr(x1, x2))) -> c3(APP(s(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_zWadr(x1, x2))) -> c3(APP(prefix(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(nil, cons_zWadr(x1, x2))) -> c3(APP(nil, zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(x0, cons_prefix(cons_active(z0)))) -> c3(APP(encArg(x0), prefix(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_active(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_mark(z0)))) -> c3(APP(encArg(x0), prefix(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_mark(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_app(z0, z1)))) -> c3(APP(encArg(x0), prefix(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), prefix(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_from(z0)))) -> c3(APP(encArg(x0), prefix(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_from(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_s(z0)))) -> c3(APP(encArg(x0), prefix(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_s(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), prefix(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_prefix(z0)))) -> c3(APP(encArg(x0), prefix(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_prefix(x1))) -> c3(APP(active(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_mark(z0), cons_prefix(x1))) -> c3(APP(mark(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_prefix(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_prefix(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_from(z0), cons_prefix(x1))) -> c3(APP(from(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_s(z0), cons_prefix(x1))) -> c3(APP(s(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_prefix(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_prefix(z0), cons_prefix(x1))) -> c3(APP(prefix(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(x0, cons_prefix(nil))) -> c3(APP(encArg(x0), prefix(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_prefix(x1))) -> c3(APP(nil, prefix(encArg(x1))), ENCARG(cons_prefix(x1))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (171) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_app(cons_app(z0, z1), x1)) -> c3(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) by ENCARG(cons_app(cons_app(x0, x1), nil)) -> c3(APP(app(encArg(x0), encArg(x1)), nil), ENCARG(cons_app(x0, x1)), ENCARG(nil)) ENCARG(cons_app(cons_app(x0, x1), cons_active(z0))) -> c3(APP(app(encArg(x0), encArg(x1)), active(encArg(z0))), ENCARG(cons_app(x0, x1)), ENCARG(cons_active(z0))) ENCARG(cons_app(cons_app(x0, x1), cons_mark(z0))) -> c3(APP(app(encArg(x0), encArg(x1)), mark(encArg(z0))), ENCARG(cons_app(x0, x1)), ENCARG(cons_mark(z0))) ENCARG(cons_app(cons_app(x0, x1), cons_app(z0, z1))) -> c3(APP(app(encArg(x0), encArg(x1)), app(encArg(z0), encArg(z1))), ENCARG(cons_app(x0, x1)), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(cons_app(x0, x1), cons_cons(z0, z1))) -> c3(APP(app(encArg(x0), encArg(x1)), cons(encArg(z0), encArg(z1))), ENCARG(cons_app(x0, x1)), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(cons_app(x0, x1), cons_from(z0))) -> c3(APP(app(encArg(x0), encArg(x1)), from(encArg(z0))), ENCARG(cons_app(x0, x1)), ENCARG(cons_from(z0))) ENCARG(cons_app(cons_app(x0, x1), cons_s(z0))) -> c3(APP(app(encArg(x0), encArg(x1)), s(encArg(z0))), ENCARG(cons_app(x0, x1)), ENCARG(cons_s(z0))) ENCARG(cons_app(cons_app(x0, x1), cons_zWadr(z0, z1))) -> c3(APP(app(encArg(x0), encArg(x1)), zWadr(encArg(z0), encArg(z1))), ENCARG(cons_app(x0, x1)), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(cons_app(x0, x1), cons_prefix(z0))) -> c3(APP(app(encArg(x0), encArg(x1)), prefix(encArg(z0))), ENCARG(cons_app(x0, x1)), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_app(x0, nil), x2)) -> c3(APP(app(encArg(x0), nil), encArg(x2)), ENCARG(cons_app(x0, nil)), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_active(z0)), x2)) -> c3(APP(app(encArg(x0), active(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_active(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_mark(z0)), x2)) -> c3(APP(app(encArg(x0), mark(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_mark(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c3(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_cons(z0, z1)), x2)) -> c3(APP(app(encArg(x0), cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_cons(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_from(z0)), x2)) -> c3(APP(app(encArg(x0), from(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_from(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_s(z0)), x2)) -> c3(APP(app(encArg(x0), s(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_s(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_zWadr(z0, z1)), x2)) -> c3(APP(app(encArg(x0), zWadr(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_zWadr(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_prefix(z0)), x2)) -> c3(APP(app(encArg(x0), prefix(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_prefix(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(nil, x1), x2)) -> c3(APP(app(nil, encArg(x1)), encArg(x2)), ENCARG(cons_app(nil, x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_active(z0), x1), x2)) -> c3(APP(app(active(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_active(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_mark(z0), x1), x2)) -> c3(APP(app(mark(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_mark(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c3(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_cons(z0, z1), x1), x2)) -> c3(APP(app(cons(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_cons(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_from(z0), x1), x2)) -> c3(APP(app(from(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_from(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_s(z0), x1), x2)) -> c3(APP(app(s(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_s(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_zWadr(z0, z1), x1), x2)) -> c3(APP(app(zWadr(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_zWadr(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_prefix(z0), x1), x2)) -> c3(APP(app(prefix(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_prefix(z0), x1)), ENCARG(x2)) ---------------------------------------- (172) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(x0, cons_cons(x1, nil))) -> c3(APP(encArg(x0), cons(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_cons(x1, nil))) ENCARG(cons_app(x0, cons_cons(x1, cons_active(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_from(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_s(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_cons(nil, x2))) -> c3(APP(encArg(x0), cons(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_cons(nil, x2))) ENCARG(cons_app(x0, cons_cons(cons_active(z0), x2))) -> c3(APP(encArg(x0), cons(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_mark(z0), x2))) -> c3(APP(encArg(x0), cons(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), cons(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_from(z0), x2))) -> c3(APP(encArg(x0), cons(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_s(z0), x2))) -> c3(APP(encArg(x0), cons(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), cons(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), cons(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_cons(x1, x2))) -> c3(APP(active(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_cons(x1, x2))) -> c3(APP(mark(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_cons(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_cons(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_cons(x1, x2))) -> c3(APP(from(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_cons(x1, x2))) -> c3(APP(s(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_cons(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_cons(x1, x2))) -> c3(APP(prefix(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(nil, cons_cons(x1, x2))) -> c3(APP(nil, cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(x0, cons_from(cons_active(z0)))) -> c3(APP(encArg(x0), from(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_active(z0)))) ENCARG(cons_app(x0, cons_from(cons_mark(z0)))) -> c3(APP(encArg(x0), from(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_mark(z0)))) ENCARG(cons_app(x0, cons_from(cons_app(z0, z1)))) -> c3(APP(encArg(x0), from(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), from(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_from(z0)))) -> c3(APP(encArg(x0), from(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_from(z0)))) ENCARG(cons_app(x0, cons_from(cons_s(z0)))) -> c3(APP(encArg(x0), from(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_s(z0)))) ENCARG(cons_app(x0, cons_from(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), from(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_prefix(z0)))) -> c3(APP(encArg(x0), from(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_from(x1))) -> c3(APP(active(encArg(z0)), from(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_mark(z0), cons_from(x1))) -> c3(APP(mark(encArg(z0)), from(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_from(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_from(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_from(z0), cons_from(x1))) -> c3(APP(from(encArg(z0)), from(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_s(z0), cons_from(x1))) -> c3(APP(s(encArg(z0)), from(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_from(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_prefix(z0), cons_from(x1))) -> c3(APP(prefix(encArg(z0)), from(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_from(nil))) -> c3(APP(encArg(x0), from(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_from(x1))) -> c3(APP(nil, from(encArg(x1))), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_s(cons_active(z0)))) -> c3(APP(encArg(x0), s(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_app(x0, cons_s(cons_mark(z0)))) -> c3(APP(encArg(x0), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_app(x0, cons_s(cons_app(z0, z1)))) -> c3(APP(encArg(x0), s(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_from(z0)))) -> c3(APP(encArg(x0), s(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_app(x0, cons_s(cons_s(z0)))) -> c3(APP(encArg(x0), s(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_app(x0, cons_s(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), s(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_prefix(z0)))) -> c3(APP(encArg(x0), s(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_s(x1))) -> c3(APP(active(encArg(z0)), s(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_mark(z0), cons_s(x1))) -> c3(APP(mark(encArg(z0)), s(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_s(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_s(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_from(z0), cons_s(x1))) -> c3(APP(from(encArg(z0)), s(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_s(z0), cons_s(x1))) -> c3(APP(s(encArg(z0)), s(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_s(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_prefix(z0), cons_s(x1))) -> c3(APP(prefix(encArg(z0)), s(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_s(nil))) -> c3(APP(encArg(x0), s(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_s(x1))) -> c3(APP(nil, s(encArg(x1))), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_zWadr(x1, nil))) -> c3(APP(encArg(x0), zWadr(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_zWadr(x1, nil))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_active(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_from(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_s(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_zWadr(nil, x2))) -> c3(APP(encArg(x0), zWadr(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(nil, x2))) ENCARG(cons_app(x0, cons_zWadr(cons_active(z0), x2))) -> c3(APP(encArg(x0), zWadr(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_mark(z0), x2))) -> c3(APP(encArg(x0), zWadr(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_from(z0), x2))) -> c3(APP(encArg(x0), zWadr(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_s(z0), x2))) -> c3(APP(encArg(x0), zWadr(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), zWadr(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_zWadr(x1, x2))) -> c3(APP(active(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_zWadr(x1, x2))) -> c3(APP(mark(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_zWadr(x1, x2))) -> c3(APP(from(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_zWadr(x1, x2))) -> c3(APP(s(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_zWadr(x1, x2))) -> c3(APP(prefix(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(nil, cons_zWadr(x1, x2))) -> c3(APP(nil, zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(x0, cons_prefix(cons_active(z0)))) -> c3(APP(encArg(x0), prefix(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_active(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_mark(z0)))) -> c3(APP(encArg(x0), prefix(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_mark(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_app(z0, z1)))) -> c3(APP(encArg(x0), prefix(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), prefix(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_from(z0)))) -> c3(APP(encArg(x0), prefix(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_from(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_s(z0)))) -> c3(APP(encArg(x0), prefix(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_s(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), prefix(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_prefix(z0)))) -> c3(APP(encArg(x0), prefix(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_prefix(x1))) -> c3(APP(active(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_mark(z0), cons_prefix(x1))) -> c3(APP(mark(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_prefix(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_prefix(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_from(z0), cons_prefix(x1))) -> c3(APP(from(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_s(z0), cons_prefix(x1))) -> c3(APP(s(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_prefix(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_prefix(z0), cons_prefix(x1))) -> c3(APP(prefix(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(x0, cons_prefix(nil))) -> c3(APP(encArg(x0), prefix(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_prefix(x1))) -> c3(APP(nil, prefix(encArg(x1))), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_app(x0, x1), nil)) -> c3(APP(app(encArg(x0), encArg(x1)), nil), ENCARG(cons_app(x0, x1)), ENCARG(nil)) ENCARG(cons_app(cons_app(x0, x1), cons_active(z0))) -> c3(APP(app(encArg(x0), encArg(x1)), active(encArg(z0))), ENCARG(cons_app(x0, x1)), ENCARG(cons_active(z0))) ENCARG(cons_app(cons_app(x0, x1), cons_mark(z0))) -> c3(APP(app(encArg(x0), encArg(x1)), mark(encArg(z0))), ENCARG(cons_app(x0, x1)), ENCARG(cons_mark(z0))) ENCARG(cons_app(cons_app(x0, nil), x2)) -> c3(APP(app(encArg(x0), nil), encArg(x2)), ENCARG(cons_app(x0, nil)), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_active(z0)), x2)) -> c3(APP(app(encArg(x0), active(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_active(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_mark(z0)), x2)) -> c3(APP(app(encArg(x0), mark(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_mark(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c3(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_cons(z0, z1)), x2)) -> c3(APP(app(encArg(x0), cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_cons(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_from(z0)), x2)) -> c3(APP(app(encArg(x0), from(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_from(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_s(z0)), x2)) -> c3(APP(app(encArg(x0), s(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_s(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_zWadr(z0, z1)), x2)) -> c3(APP(app(encArg(x0), zWadr(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_zWadr(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_prefix(z0)), x2)) -> c3(APP(app(encArg(x0), prefix(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_prefix(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(nil, x1), x2)) -> c3(APP(app(nil, encArg(x1)), encArg(x2)), ENCARG(cons_app(nil, x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_active(z0), x1), x2)) -> c3(APP(app(active(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_active(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_mark(z0), x1), x2)) -> c3(APP(app(mark(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_mark(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c3(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_cons(z0, z1), x1), x2)) -> c3(APP(app(cons(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_cons(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_from(z0), x1), x2)) -> c3(APP(app(from(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_from(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_s(z0), x1), x2)) -> c3(APP(app(s(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_s(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_zWadr(z0, z1), x1), x2)) -> c3(APP(app(zWadr(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_zWadr(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_prefix(z0), x1), x2)) -> c3(APP(app(prefix(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_prefix(z0), x1)), ENCARG(x2)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (173) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (174) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(x0, cons_cons(x1, nil))) -> c3(APP(encArg(x0), cons(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_cons(x1, nil))) ENCARG(cons_app(x0, cons_cons(x1, cons_active(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_from(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_s(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_cons(nil, x2))) -> c3(APP(encArg(x0), cons(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_cons(nil, x2))) ENCARG(cons_app(x0, cons_cons(cons_active(z0), x2))) -> c3(APP(encArg(x0), cons(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_mark(z0), x2))) -> c3(APP(encArg(x0), cons(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), cons(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_from(z0), x2))) -> c3(APP(encArg(x0), cons(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_s(z0), x2))) -> c3(APP(encArg(x0), cons(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), cons(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), cons(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_cons(x1, x2))) -> c3(APP(active(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_cons(x1, x2))) -> c3(APP(mark(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_cons(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_cons(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_cons(x1, x2))) -> c3(APP(from(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_cons(x1, x2))) -> c3(APP(s(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_cons(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_cons(x1, x2))) -> c3(APP(prefix(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(nil, cons_cons(x1, x2))) -> c3(APP(nil, cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(x0, cons_from(cons_active(z0)))) -> c3(APP(encArg(x0), from(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_active(z0)))) ENCARG(cons_app(x0, cons_from(cons_mark(z0)))) -> c3(APP(encArg(x0), from(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_mark(z0)))) ENCARG(cons_app(x0, cons_from(cons_app(z0, z1)))) -> c3(APP(encArg(x0), from(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), from(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_from(z0)))) -> c3(APP(encArg(x0), from(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_from(z0)))) ENCARG(cons_app(x0, cons_from(cons_s(z0)))) -> c3(APP(encArg(x0), from(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_s(z0)))) ENCARG(cons_app(x0, cons_from(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), from(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_prefix(z0)))) -> c3(APP(encArg(x0), from(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_from(x1))) -> c3(APP(active(encArg(z0)), from(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_mark(z0), cons_from(x1))) -> c3(APP(mark(encArg(z0)), from(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_from(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_from(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_from(z0), cons_from(x1))) -> c3(APP(from(encArg(z0)), from(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_s(z0), cons_from(x1))) -> c3(APP(s(encArg(z0)), from(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_from(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_prefix(z0), cons_from(x1))) -> c3(APP(prefix(encArg(z0)), from(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_from(nil))) -> c3(APP(encArg(x0), from(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_from(x1))) -> c3(APP(nil, from(encArg(x1))), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_s(cons_active(z0)))) -> c3(APP(encArg(x0), s(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_app(x0, cons_s(cons_mark(z0)))) -> c3(APP(encArg(x0), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_app(x0, cons_s(cons_app(z0, z1)))) -> c3(APP(encArg(x0), s(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_from(z0)))) -> c3(APP(encArg(x0), s(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_app(x0, cons_s(cons_s(z0)))) -> c3(APP(encArg(x0), s(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_app(x0, cons_s(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), s(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_prefix(z0)))) -> c3(APP(encArg(x0), s(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_s(x1))) -> c3(APP(active(encArg(z0)), s(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_mark(z0), cons_s(x1))) -> c3(APP(mark(encArg(z0)), s(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_s(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_s(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_from(z0), cons_s(x1))) -> c3(APP(from(encArg(z0)), s(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_s(z0), cons_s(x1))) -> c3(APP(s(encArg(z0)), s(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_s(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_prefix(z0), cons_s(x1))) -> c3(APP(prefix(encArg(z0)), s(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_s(nil))) -> c3(APP(encArg(x0), s(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_s(x1))) -> c3(APP(nil, s(encArg(x1))), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_zWadr(x1, nil))) -> c3(APP(encArg(x0), zWadr(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_zWadr(x1, nil))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_active(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_from(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_s(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_zWadr(nil, x2))) -> c3(APP(encArg(x0), zWadr(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(nil, x2))) ENCARG(cons_app(x0, cons_zWadr(cons_active(z0), x2))) -> c3(APP(encArg(x0), zWadr(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_mark(z0), x2))) -> c3(APP(encArg(x0), zWadr(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_from(z0), x2))) -> c3(APP(encArg(x0), zWadr(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_s(z0), x2))) -> c3(APP(encArg(x0), zWadr(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), zWadr(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_zWadr(x1, x2))) -> c3(APP(active(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_zWadr(x1, x2))) -> c3(APP(mark(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_zWadr(x1, x2))) -> c3(APP(from(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_zWadr(x1, x2))) -> c3(APP(s(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_zWadr(x1, x2))) -> c3(APP(prefix(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(nil, cons_zWadr(x1, x2))) -> c3(APP(nil, zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(x0, cons_prefix(cons_active(z0)))) -> c3(APP(encArg(x0), prefix(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_active(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_mark(z0)))) -> c3(APP(encArg(x0), prefix(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_mark(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_app(z0, z1)))) -> c3(APP(encArg(x0), prefix(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), prefix(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_from(z0)))) -> c3(APP(encArg(x0), prefix(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_from(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_s(z0)))) -> c3(APP(encArg(x0), prefix(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_s(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), prefix(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_prefix(z0)))) -> c3(APP(encArg(x0), prefix(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_prefix(x1))) -> c3(APP(active(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_mark(z0), cons_prefix(x1))) -> c3(APP(mark(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_prefix(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_prefix(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_from(z0), cons_prefix(x1))) -> c3(APP(from(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_s(z0), cons_prefix(x1))) -> c3(APP(s(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_prefix(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_prefix(z0), cons_prefix(x1))) -> c3(APP(prefix(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(x0, cons_prefix(nil))) -> c3(APP(encArg(x0), prefix(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_prefix(x1))) -> c3(APP(nil, prefix(encArg(x1))), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_app(x0, x1), cons_active(z0))) -> c3(APP(app(encArg(x0), encArg(x1)), active(encArg(z0))), ENCARG(cons_app(x0, x1)), ENCARG(cons_active(z0))) ENCARG(cons_app(cons_app(x0, x1), cons_mark(z0))) -> c3(APP(app(encArg(x0), encArg(x1)), mark(encArg(z0))), ENCARG(cons_app(x0, x1)), ENCARG(cons_mark(z0))) ENCARG(cons_app(cons_app(x0, nil), x2)) -> c3(APP(app(encArg(x0), nil), encArg(x2)), ENCARG(cons_app(x0, nil)), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_active(z0)), x2)) -> c3(APP(app(encArg(x0), active(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_active(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_mark(z0)), x2)) -> c3(APP(app(encArg(x0), mark(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_mark(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c3(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_cons(z0, z1)), x2)) -> c3(APP(app(encArg(x0), cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_cons(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_from(z0)), x2)) -> c3(APP(app(encArg(x0), from(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_from(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_s(z0)), x2)) -> c3(APP(app(encArg(x0), s(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_s(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_zWadr(z0, z1)), x2)) -> c3(APP(app(encArg(x0), zWadr(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_zWadr(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_prefix(z0)), x2)) -> c3(APP(app(encArg(x0), prefix(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_prefix(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(nil, x1), x2)) -> c3(APP(app(nil, encArg(x1)), encArg(x2)), ENCARG(cons_app(nil, x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_active(z0), x1), x2)) -> c3(APP(app(active(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_active(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_mark(z0), x1), x2)) -> c3(APP(app(mark(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_mark(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c3(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_cons(z0, z1), x1), x2)) -> c3(APP(app(cons(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_cons(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_from(z0), x1), x2)) -> c3(APP(app(from(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_from(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_s(z0), x1), x2)) -> c3(APP(app(s(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_s(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_zWadr(z0, z1), x1), x2)) -> c3(APP(app(zWadr(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_zWadr(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_prefix(z0), x1), x2)) -> c3(APP(app(prefix(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_prefix(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, x1), nil)) -> c3(APP(app(encArg(x0), encArg(x1)), nil), ENCARG(cons_app(x0, x1))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (175) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_app(cons_cons(z0, z1), x1)) -> c3(APP(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) by ENCARG(cons_app(cons_cons(x0, x1), nil)) -> c3(APP(cons(encArg(x0), encArg(x1)), nil), ENCARG(cons_cons(x0, x1)), ENCARG(nil)) ENCARG(cons_app(cons_cons(x0, x1), cons_active(z0))) -> c3(APP(cons(encArg(x0), encArg(x1)), active(encArg(z0))), ENCARG(cons_cons(x0, x1)), ENCARG(cons_active(z0))) ENCARG(cons_app(cons_cons(x0, x1), cons_mark(z0))) -> c3(APP(cons(encArg(x0), encArg(x1)), mark(encArg(z0))), ENCARG(cons_cons(x0, x1)), ENCARG(cons_mark(z0))) ENCARG(cons_app(cons_cons(x0, x1), cons_app(z0, z1))) -> c3(APP(cons(encArg(x0), encArg(x1)), app(encArg(z0), encArg(z1))), ENCARG(cons_cons(x0, x1)), ENCARG(cons_app(z0, z1))) ENCARG(cons_app(cons_cons(x0, x1), cons_cons(z0, z1))) -> c3(APP(cons(encArg(x0), encArg(x1)), cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(x0, x1)), ENCARG(cons_cons(z0, z1))) ENCARG(cons_app(cons_cons(x0, x1), cons_from(z0))) -> c3(APP(cons(encArg(x0), encArg(x1)), from(encArg(z0))), ENCARG(cons_cons(x0, x1)), ENCARG(cons_from(z0))) ENCARG(cons_app(cons_cons(x0, x1), cons_s(z0))) -> c3(APP(cons(encArg(x0), encArg(x1)), s(encArg(z0))), ENCARG(cons_cons(x0, x1)), ENCARG(cons_s(z0))) ENCARG(cons_app(cons_cons(x0, x1), cons_zWadr(z0, z1))) -> c3(APP(cons(encArg(x0), encArg(x1)), zWadr(encArg(z0), encArg(z1))), ENCARG(cons_cons(x0, x1)), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_app(cons_cons(x0, x1), cons_prefix(z0))) -> c3(APP(cons(encArg(x0), encArg(x1)), prefix(encArg(z0))), ENCARG(cons_cons(x0, x1)), ENCARG(cons_prefix(z0))) ENCARG(cons_app(cons_cons(x0, nil), x2)) -> c3(APP(cons(encArg(x0), nil), encArg(x2)), ENCARG(cons_cons(x0, nil)), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_active(z0)), x2)) -> c3(APP(cons(encArg(x0), active(encArg(z0))), encArg(x2)), ENCARG(cons_cons(x0, cons_active(z0))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_mark(z0)), x2)) -> c3(APP(cons(encArg(x0), mark(encArg(z0))), encArg(x2)), ENCARG(cons_cons(x0, cons_mark(z0))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_app(z0, z1)), x2)) -> c3(APP(cons(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_cons(x0, cons_app(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_cons(z0, z1)), x2)) -> c3(APP(cons(encArg(x0), cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_cons(x0, cons_cons(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_from(z0)), x2)) -> c3(APP(cons(encArg(x0), from(encArg(z0))), encArg(x2)), ENCARG(cons_cons(x0, cons_from(z0))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_s(z0)), x2)) -> c3(APP(cons(encArg(x0), s(encArg(z0))), encArg(x2)), ENCARG(cons_cons(x0, cons_s(z0))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_zWadr(z0, z1)), x2)) -> c3(APP(cons(encArg(x0), zWadr(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_cons(x0, cons_zWadr(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_prefix(z0)), x2)) -> c3(APP(cons(encArg(x0), prefix(encArg(z0))), encArg(x2)), ENCARG(cons_cons(x0, cons_prefix(z0))), ENCARG(x2)) ENCARG(cons_app(cons_cons(nil, x1), x2)) -> c3(APP(cons(nil, encArg(x1)), encArg(x2)), ENCARG(cons_cons(nil, x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_active(z0), x1), x2)) -> c3(APP(cons(active(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_active(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_mark(z0), x1), x2)) -> c3(APP(cons(mark(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_mark(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_app(z0, z1), x1), x2)) -> c3(APP(cons(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_app(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_cons(z0, z1), x1), x2)) -> c3(APP(cons(cons(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_cons(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_from(z0), x1), x2)) -> c3(APP(cons(from(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_from(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_s(z0), x1), x2)) -> c3(APP(cons(s(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_s(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_zWadr(z0, z1), x1), x2)) -> c3(APP(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_zWadr(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_prefix(z0), x1), x2)) -> c3(APP(cons(prefix(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_prefix(z0), x1)), ENCARG(x2)) ---------------------------------------- (176) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(x0, cons_cons(x1, nil))) -> c3(APP(encArg(x0), cons(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_cons(x1, nil))) ENCARG(cons_app(x0, cons_cons(x1, cons_active(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_from(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_s(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_cons(nil, x2))) -> c3(APP(encArg(x0), cons(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_cons(nil, x2))) ENCARG(cons_app(x0, cons_cons(cons_active(z0), x2))) -> c3(APP(encArg(x0), cons(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_mark(z0), x2))) -> c3(APP(encArg(x0), cons(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), cons(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_from(z0), x2))) -> c3(APP(encArg(x0), cons(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_s(z0), x2))) -> c3(APP(encArg(x0), cons(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), cons(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), cons(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_cons(x1, x2))) -> c3(APP(active(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_cons(x1, x2))) -> c3(APP(mark(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_cons(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_cons(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_cons(x1, x2))) -> c3(APP(from(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_cons(x1, x2))) -> c3(APP(s(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_cons(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_cons(x1, x2))) -> c3(APP(prefix(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(nil, cons_cons(x1, x2))) -> c3(APP(nil, cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(x0, cons_from(cons_active(z0)))) -> c3(APP(encArg(x0), from(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_active(z0)))) ENCARG(cons_app(x0, cons_from(cons_mark(z0)))) -> c3(APP(encArg(x0), from(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_mark(z0)))) ENCARG(cons_app(x0, cons_from(cons_app(z0, z1)))) -> c3(APP(encArg(x0), from(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), from(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_from(z0)))) -> c3(APP(encArg(x0), from(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_from(z0)))) ENCARG(cons_app(x0, cons_from(cons_s(z0)))) -> c3(APP(encArg(x0), from(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_s(z0)))) ENCARG(cons_app(x0, cons_from(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), from(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_prefix(z0)))) -> c3(APP(encArg(x0), from(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_from(x1))) -> c3(APP(active(encArg(z0)), from(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_mark(z0), cons_from(x1))) -> c3(APP(mark(encArg(z0)), from(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_from(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_from(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_from(z0), cons_from(x1))) -> c3(APP(from(encArg(z0)), from(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_s(z0), cons_from(x1))) -> c3(APP(s(encArg(z0)), from(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_from(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_prefix(z0), cons_from(x1))) -> c3(APP(prefix(encArg(z0)), from(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_from(nil))) -> c3(APP(encArg(x0), from(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_from(x1))) -> c3(APP(nil, from(encArg(x1))), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_s(cons_active(z0)))) -> c3(APP(encArg(x0), s(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_app(x0, cons_s(cons_mark(z0)))) -> c3(APP(encArg(x0), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_app(x0, cons_s(cons_app(z0, z1)))) -> c3(APP(encArg(x0), s(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_from(z0)))) -> c3(APP(encArg(x0), s(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_app(x0, cons_s(cons_s(z0)))) -> c3(APP(encArg(x0), s(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_app(x0, cons_s(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), s(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_prefix(z0)))) -> c3(APP(encArg(x0), s(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_s(x1))) -> c3(APP(active(encArg(z0)), s(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_mark(z0), cons_s(x1))) -> c3(APP(mark(encArg(z0)), s(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_s(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_s(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_from(z0), cons_s(x1))) -> c3(APP(from(encArg(z0)), s(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_s(z0), cons_s(x1))) -> c3(APP(s(encArg(z0)), s(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_s(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_prefix(z0), cons_s(x1))) -> c3(APP(prefix(encArg(z0)), s(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_s(nil))) -> c3(APP(encArg(x0), s(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_s(x1))) -> c3(APP(nil, s(encArg(x1))), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_zWadr(x1, nil))) -> c3(APP(encArg(x0), zWadr(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_zWadr(x1, nil))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_active(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_from(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_s(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_zWadr(nil, x2))) -> c3(APP(encArg(x0), zWadr(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(nil, x2))) ENCARG(cons_app(x0, cons_zWadr(cons_active(z0), x2))) -> c3(APP(encArg(x0), zWadr(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_mark(z0), x2))) -> c3(APP(encArg(x0), zWadr(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_from(z0), x2))) -> c3(APP(encArg(x0), zWadr(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_s(z0), x2))) -> c3(APP(encArg(x0), zWadr(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), zWadr(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_zWadr(x1, x2))) -> c3(APP(active(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_zWadr(x1, x2))) -> c3(APP(mark(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_zWadr(x1, x2))) -> c3(APP(from(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_zWadr(x1, x2))) -> c3(APP(s(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_zWadr(x1, x2))) -> c3(APP(prefix(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(nil, cons_zWadr(x1, x2))) -> c3(APP(nil, zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(x0, cons_prefix(cons_active(z0)))) -> c3(APP(encArg(x0), prefix(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_active(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_mark(z0)))) -> c3(APP(encArg(x0), prefix(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_mark(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_app(z0, z1)))) -> c3(APP(encArg(x0), prefix(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), prefix(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_from(z0)))) -> c3(APP(encArg(x0), prefix(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_from(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_s(z0)))) -> c3(APP(encArg(x0), prefix(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_s(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), prefix(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_prefix(z0)))) -> c3(APP(encArg(x0), prefix(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_prefix(x1))) -> c3(APP(active(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_mark(z0), cons_prefix(x1))) -> c3(APP(mark(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_prefix(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_prefix(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_from(z0), cons_prefix(x1))) -> c3(APP(from(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_s(z0), cons_prefix(x1))) -> c3(APP(s(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_prefix(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_prefix(z0), cons_prefix(x1))) -> c3(APP(prefix(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(x0, cons_prefix(nil))) -> c3(APP(encArg(x0), prefix(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_prefix(x1))) -> c3(APP(nil, prefix(encArg(x1))), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_app(x0, x1), cons_active(z0))) -> c3(APP(app(encArg(x0), encArg(x1)), active(encArg(z0))), ENCARG(cons_app(x0, x1)), ENCARG(cons_active(z0))) ENCARG(cons_app(cons_app(x0, x1), cons_mark(z0))) -> c3(APP(app(encArg(x0), encArg(x1)), mark(encArg(z0))), ENCARG(cons_app(x0, x1)), ENCARG(cons_mark(z0))) ENCARG(cons_app(cons_app(x0, nil), x2)) -> c3(APP(app(encArg(x0), nil), encArg(x2)), ENCARG(cons_app(x0, nil)), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_active(z0)), x2)) -> c3(APP(app(encArg(x0), active(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_active(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_mark(z0)), x2)) -> c3(APP(app(encArg(x0), mark(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_mark(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c3(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_cons(z0, z1)), x2)) -> c3(APP(app(encArg(x0), cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_cons(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_from(z0)), x2)) -> c3(APP(app(encArg(x0), from(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_from(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_s(z0)), x2)) -> c3(APP(app(encArg(x0), s(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_s(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_zWadr(z0, z1)), x2)) -> c3(APP(app(encArg(x0), zWadr(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_zWadr(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_prefix(z0)), x2)) -> c3(APP(app(encArg(x0), prefix(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_prefix(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(nil, x1), x2)) -> c3(APP(app(nil, encArg(x1)), encArg(x2)), ENCARG(cons_app(nil, x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_active(z0), x1), x2)) -> c3(APP(app(active(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_active(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_mark(z0), x1), x2)) -> c3(APP(app(mark(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_mark(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c3(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_cons(z0, z1), x1), x2)) -> c3(APP(app(cons(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_cons(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_from(z0), x1), x2)) -> c3(APP(app(from(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_from(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_s(z0), x1), x2)) -> c3(APP(app(s(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_s(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_zWadr(z0, z1), x1), x2)) -> c3(APP(app(zWadr(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_zWadr(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_prefix(z0), x1), x2)) -> c3(APP(app(prefix(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_prefix(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, x1), nil)) -> c3(APP(app(encArg(x0), encArg(x1)), nil), ENCARG(cons_app(x0, x1))) ENCARG(cons_app(cons_cons(x0, x1), nil)) -> c3(APP(cons(encArg(x0), encArg(x1)), nil), ENCARG(cons_cons(x0, x1)), ENCARG(nil)) ENCARG(cons_app(cons_cons(x0, x1), cons_active(z0))) -> c3(APP(cons(encArg(x0), encArg(x1)), active(encArg(z0))), ENCARG(cons_cons(x0, x1)), ENCARG(cons_active(z0))) ENCARG(cons_app(cons_cons(x0, x1), cons_mark(z0))) -> c3(APP(cons(encArg(x0), encArg(x1)), mark(encArg(z0))), ENCARG(cons_cons(x0, x1)), ENCARG(cons_mark(z0))) ENCARG(cons_app(cons_cons(x0, nil), x2)) -> c3(APP(cons(encArg(x0), nil), encArg(x2)), ENCARG(cons_cons(x0, nil)), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_active(z0)), x2)) -> c3(APP(cons(encArg(x0), active(encArg(z0))), encArg(x2)), ENCARG(cons_cons(x0, cons_active(z0))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_mark(z0)), x2)) -> c3(APP(cons(encArg(x0), mark(encArg(z0))), encArg(x2)), ENCARG(cons_cons(x0, cons_mark(z0))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_app(z0, z1)), x2)) -> c3(APP(cons(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_cons(x0, cons_app(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_cons(z0, z1)), x2)) -> c3(APP(cons(encArg(x0), cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_cons(x0, cons_cons(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_from(z0)), x2)) -> c3(APP(cons(encArg(x0), from(encArg(z0))), encArg(x2)), ENCARG(cons_cons(x0, cons_from(z0))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_s(z0)), x2)) -> c3(APP(cons(encArg(x0), s(encArg(z0))), encArg(x2)), ENCARG(cons_cons(x0, cons_s(z0))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_zWadr(z0, z1)), x2)) -> c3(APP(cons(encArg(x0), zWadr(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_cons(x0, cons_zWadr(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_prefix(z0)), x2)) -> c3(APP(cons(encArg(x0), prefix(encArg(z0))), encArg(x2)), ENCARG(cons_cons(x0, cons_prefix(z0))), ENCARG(x2)) ENCARG(cons_app(cons_cons(nil, x1), x2)) -> c3(APP(cons(nil, encArg(x1)), encArg(x2)), ENCARG(cons_cons(nil, x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_active(z0), x1), x2)) -> c3(APP(cons(active(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_active(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_mark(z0), x1), x2)) -> c3(APP(cons(mark(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_mark(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_app(z0, z1), x1), x2)) -> c3(APP(cons(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_app(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_cons(z0, z1), x1), x2)) -> c3(APP(cons(cons(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_cons(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_from(z0), x1), x2)) -> c3(APP(cons(from(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_from(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_s(z0), x1), x2)) -> c3(APP(cons(s(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_s(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_zWadr(z0, z1), x1), x2)) -> c3(APP(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_zWadr(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_prefix(z0), x1), x2)) -> c3(APP(cons(prefix(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_prefix(z0), x1)), ENCARG(x2)) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1 ---------------------------------------- (177) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (178) Obligation: Complexity Dependency Tuples Problem Rules: encArg(nil) -> nil encArg(cons_active(z0)) -> active(encArg(z0)) encArg(cons_mark(z0)) -> mark(encArg(z0)) encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1)) encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1)) encArg(cons_from(z0)) -> from(encArg(z0)) encArg(cons_s(z0)) -> s(encArg(z0)) encArg(cons_zWadr(z0, z1)) -> zWadr(encArg(z0), encArg(z1)) encArg(cons_prefix(z0)) -> prefix(encArg(z0)) active(app(nil, z0)) -> mark(z0) active(app(cons(z0, z1), z2)) -> mark(cons(z0, app(z1, z2))) active(from(z0)) -> mark(cons(z0, from(s(z0)))) active(zWadr(nil, z0)) -> mark(nil) active(zWadr(z0, nil)) -> mark(nil) active(zWadr(cons(z0, z1), cons(z2, z3))) -> mark(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))) active(prefix(z0)) -> mark(cons(nil, zWadr(z0, prefix(z0)))) mark(app(z0, z1)) -> active(app(mark(z0), mark(z1))) mark(nil) -> active(nil) mark(cons(z0, z1)) -> active(cons(mark(z0), z1)) mark(from(z0)) -> active(from(mark(z0))) mark(s(z0)) -> active(s(mark(z0))) mark(zWadr(z0, z1)) -> active(zWadr(mark(z0), mark(z1))) mark(prefix(z0)) -> active(prefix(mark(z0))) app(mark(z0), z1) -> app(z0, z1) app(z0, mark(z1)) -> app(z0, z1) app(active(z0), z1) -> app(z0, z1) app(z0, active(z1)) -> app(z0, z1) cons(mark(z0), z1) -> cons(z0, z1) cons(z0, mark(z1)) -> cons(z0, z1) cons(active(z0), z1) -> cons(z0, z1) cons(z0, active(z1)) -> cons(z0, z1) from(mark(z0)) -> from(z0) from(active(z0)) -> from(z0) s(mark(z0)) -> s(z0) s(active(z0)) -> s(z0) zWadr(mark(z0), z1) -> zWadr(z0, z1) zWadr(z0, mark(z1)) -> zWadr(z0, z1) zWadr(active(z0), z1) -> zWadr(z0, z1) zWadr(z0, active(z1)) -> zWadr(z0, z1) prefix(mark(z0)) -> prefix(z0) prefix(active(z0)) -> prefix(z0) Tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 ENCARG(cons_active(cons_from(z0))) -> c1(ACTIVE(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_active(cons_prefix(z0))) -> c1(ACTIVE(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(cons_app(z0, z1))) -> c2(MARK(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_mark(cons_cons(z0, z1))) -> c2(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_mark(cons_from(z0))) -> c2(MARK(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_mark(cons_s(z0))) -> c2(MARK(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_mark(cons_zWadr(z0, z1))) -> c2(MARK(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_mark(cons_prefix(z0))) -> c2(MARK(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_mark(nil)) -> c2(MARK(nil)) ENCARG(cons_app(x0, cons_active(z0))) -> c3(APP(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_app(x0, cons_mark(z0))) -> c3(APP(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_app(cons_active(z0), x1)) -> c3(APP(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_app(cons_mark(z0), x1)) -> c3(APP(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_app(cons_from(z0), x1)) -> c3(APP(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_app(cons_s(z0), x1)) -> c3(APP(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_app(cons_zWadr(z0, z1), x1)) -> c3(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_app(cons_prefix(z0), x1)) -> c3(APP(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_app(x0, nil)) -> c3(APP(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_app(nil, x1)) -> c3(APP(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_cons(x0, cons_active(z0))) -> c4(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_cons(x0, cons_mark(z0))) -> c4(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_cons(x0, cons_app(z0, z1))) -> c4(CONS(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c4(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_cons(x0, cons_from(z0))) -> c4(CONS(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_cons(x0, cons_s(z0))) -> c4(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_cons(x0, cons_zWadr(z0, z1))) -> c4(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_cons(x0, cons_prefix(z0))) -> c4(CONS(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_cons(cons_active(z0), x1)) -> c4(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_mark(z0), x1)) -> c4(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_app(z0, z1), x1)) -> c4(CONS(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c4(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_from(z0), x1)) -> c4(CONS(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_s(z0), x1)) -> c4(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_cons(cons_zWadr(z0, z1), x1)) -> c4(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_cons(cons_prefix(z0), x1)) -> c4(CONS(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_cons(x0, nil)) -> c4(CONS(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_cons(nil, x1)) -> c4(CONS(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_from(cons_active(z0))) -> c5(FROM(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_from(cons_mark(z0))) -> c5(FROM(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_from(cons_app(z0, z1))) -> c5(FROM(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_from(cons_cons(z0, z1))) -> c5(FROM(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_from(cons_from(z0))) -> c5(FROM(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_from(cons_s(z0))) -> c5(FROM(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_from(cons_zWadr(z0, z1))) -> c5(FROM(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_from(cons_prefix(z0))) -> c5(FROM(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_app(z0, z1))) -> c6(S(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_s(cons_from(z0))) -> c6(S(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_zWadr(z0, z1))) -> c6(S(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_s(cons_prefix(z0))) -> c6(S(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(x0, cons_active(z0))) -> c7(ZWADR(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_zWadr(x0, cons_mark(z0))) -> c7(ZWADR(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_zWadr(x0, cons_app(z0, z1))) -> c7(ZWADR(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) ENCARG(cons_zWadr(x0, cons_cons(z0, z1))) -> c7(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1))) ENCARG(cons_zWadr(x0, cons_from(z0))) -> c7(ZWADR(encArg(x0), from(encArg(z0))), ENCARG(x0), ENCARG(cons_from(z0))) ENCARG(cons_zWadr(x0, cons_s(z0))) -> c7(ZWADR(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1))) -> c7(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_zWadr(x0, cons_prefix(z0))) -> c7(ZWADR(encArg(x0), prefix(encArg(z0))), ENCARG(x0), ENCARG(cons_prefix(z0))) ENCARG(cons_zWadr(cons_active(z0), x1)) -> c7(ZWADR(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_mark(z0), x1)) -> c7(ZWADR(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_app(z0, z1), x1)) -> c7(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_cons(z0, z1), x1)) -> c7(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_from(z0), x1)) -> c7(ZWADR(from(encArg(z0)), encArg(x1)), ENCARG(cons_from(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_s(z0), x1)) -> c7(ZWADR(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1)) -> c7(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_zWadr(z0, z1)), ENCARG(x1)) ENCARG(cons_zWadr(cons_prefix(z0), x1)) -> c7(ZWADR(prefix(encArg(z0)), encArg(x1)), ENCARG(cons_prefix(z0)), ENCARG(x1)) ENCARG(cons_zWadr(x0, nil)) -> c7(ZWADR(encArg(x0), nil), ENCARG(x0)) ENCARG(cons_zWadr(nil, x1)) -> c7(ZWADR(nil, encArg(x1)), ENCARG(x1)) ENCARG(cons_prefix(cons_active(z0))) -> c8(PREFIX(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_prefix(cons_mark(z0))) -> c8(PREFIX(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_prefix(cons_app(z0, z1))) -> c8(PREFIX(app(encArg(z0), encArg(z1))), ENCARG(cons_app(z0, z1))) ENCARG(cons_prefix(cons_cons(z0, z1))) -> c8(PREFIX(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) ENCARG(cons_prefix(cons_from(z0))) -> c8(PREFIX(from(encArg(z0))), ENCARG(cons_from(z0))) ENCARG(cons_prefix(cons_s(z0))) -> c8(PREFIX(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_prefix(cons_zWadr(z0, z1))) -> c8(PREFIX(zWadr(encArg(z0), encArg(z1))), ENCARG(cons_zWadr(z0, z1))) ENCARG(cons_prefix(cons_prefix(z0))) -> c8(PREFIX(prefix(encArg(z0))), ENCARG(cons_prefix(z0))) MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0)))) ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0)))) ENCODE_ACTIVE(cons_app(z0, z1)) -> c(ACTIVE(app(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_from(z0)) -> c(ACTIVE(from(encArg(z0)))) ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0)))) ENCODE_ACTIVE(cons_zWadr(z0, z1)) -> c(ACTIVE(zWadr(encArg(z0), encArg(z1)))) ENCODE_ACTIVE(cons_prefix(z0)) -> c(ACTIVE(prefix(encArg(z0)))) ENCODE_APP(x0, nil) -> c(APP(encArg(x0), nil)) ENCODE_APP(x0, cons_active(z0)) -> c(APP(encArg(x0), active(encArg(z0)))) ENCODE_APP(x0, cons_mark(z0)) -> c(APP(encArg(x0), mark(encArg(z0)))) ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_cons(z0, z1)) -> c(APP(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_from(z0)) -> c(APP(encArg(x0), from(encArg(z0)))) ENCODE_APP(x0, cons_s(z0)) -> c(APP(encArg(x0), s(encArg(z0)))) ENCODE_APP(x0, cons_zWadr(z0, z1)) -> c(APP(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_APP(x0, cons_prefix(z0)) -> c(APP(encArg(x0), prefix(encArg(z0)))) ENCODE_APP(nil, x1) -> c(APP(nil, encArg(x1))) ENCODE_APP(cons_active(z0), x1) -> c(APP(active(encArg(z0)), encArg(x1))) ENCODE_APP(cons_mark(z0), x1) -> c(APP(mark(encArg(z0)), encArg(x1))) ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_cons(z0, z1), x1) -> c(APP(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_from(z0), x1) -> c(APP(from(encArg(z0)), encArg(x1))) ENCODE_APP(cons_s(z0), x1) -> c(APP(s(encArg(z0)), encArg(x1))) ENCODE_APP(cons_zWadr(z0, z1), x1) -> c(APP(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_APP(cons_prefix(z0), x1) -> c(APP(prefix(encArg(z0)), encArg(x1))) ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0)))) ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0)))) ENCODE_MARK(cons_app(z0, z1)) -> c(MARK(app(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_from(z0)) -> c(MARK(from(encArg(z0)))) ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0)))) ENCODE_MARK(cons_zWadr(z0, z1)) -> c(MARK(zWadr(encArg(z0), encArg(z1)))) ENCODE_MARK(cons_prefix(z0)) -> c(MARK(prefix(encArg(z0)))) ENCODE_CONS(x0, nil) -> c(CONS(encArg(x0), nil)) ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0)))) ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0)))) ENCODE_CONS(x0, cons_app(z0, z1)) -> c(CONS(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_from(z0)) -> c(CONS(encArg(x0), from(encArg(z0)))) ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0)))) ENCODE_CONS(x0, cons_zWadr(z0, z1)) -> c(CONS(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_CONS(x0, cons_prefix(z0)) -> c(CONS(encArg(x0), prefix(encArg(z0)))) ENCODE_CONS(nil, x1) -> c(CONS(nil, encArg(x1))) ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_app(z0, z1), x1) -> c(CONS(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_from(z0), x1) -> c(CONS(from(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1))) ENCODE_CONS(cons_zWadr(z0, z1), x1) -> c(CONS(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_CONS(cons_prefix(z0), x1) -> c(CONS(prefix(encArg(z0)), encArg(x1))) ENCODE_FROM(cons_active(z0)) -> c(FROM(active(encArg(z0)))) ENCODE_FROM(cons_mark(z0)) -> c(FROM(mark(encArg(z0)))) ENCODE_FROM(cons_app(z0, z1)) -> c(FROM(app(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_cons(z0, z1)) -> c(FROM(cons(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_from(z0)) -> c(FROM(from(encArg(z0)))) ENCODE_FROM(cons_s(z0)) -> c(FROM(s(encArg(z0)))) ENCODE_FROM(cons_zWadr(z0, z1)) -> c(FROM(zWadr(encArg(z0), encArg(z1)))) ENCODE_FROM(cons_prefix(z0)) -> c(FROM(prefix(encArg(z0)))) ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0)))) ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0)))) ENCODE_S(cons_app(z0, z1)) -> c(S(app(encArg(z0), encArg(z1)))) ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1)))) ENCODE_S(cons_from(z0)) -> c(S(from(encArg(z0)))) ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0)))) ENCODE_S(cons_zWadr(z0, z1)) -> c(S(zWadr(encArg(z0), encArg(z1)))) ENCODE_S(cons_prefix(z0)) -> c(S(prefix(encArg(z0)))) ENCODE_ZWADR(x0, nil) -> c(ZWADR(encArg(x0), nil)) ENCODE_ZWADR(x0, cons_active(z0)) -> c(ZWADR(encArg(x0), active(encArg(z0)))) ENCODE_ZWADR(x0, cons_mark(z0)) -> c(ZWADR(encArg(x0), mark(encArg(z0)))) ENCODE_ZWADR(x0, cons_app(z0, z1)) -> c(ZWADR(encArg(x0), app(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_cons(z0, z1)) -> c(ZWADR(encArg(x0), cons(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_from(z0)) -> c(ZWADR(encArg(x0), from(encArg(z0)))) ENCODE_ZWADR(x0, cons_s(z0)) -> c(ZWADR(encArg(x0), s(encArg(z0)))) ENCODE_ZWADR(x0, cons_zWadr(z0, z1)) -> c(ZWADR(encArg(x0), zWadr(encArg(z0), encArg(z1)))) ENCODE_ZWADR(x0, cons_prefix(z0)) -> c(ZWADR(encArg(x0), prefix(encArg(z0)))) ENCODE_ZWADR(nil, x1) -> c(ZWADR(nil, encArg(x1))) ENCODE_ZWADR(cons_active(z0), x1) -> c(ZWADR(active(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_mark(z0), x1) -> c(ZWADR(mark(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_app(z0, z1), x1) -> c(ZWADR(app(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_cons(z0, z1), x1) -> c(ZWADR(cons(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_from(z0), x1) -> c(ZWADR(from(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_s(z0), x1) -> c(ZWADR(s(encArg(z0)), encArg(x1))) ENCODE_ZWADR(cons_zWadr(z0, z1), x1) -> c(ZWADR(zWadr(encArg(z0), encArg(z1)), encArg(x1))) ENCODE_ZWADR(cons_prefix(z0), x1) -> c(ZWADR(prefix(encArg(z0)), encArg(x1))) ENCODE_PREFIX(cons_active(z0)) -> c(PREFIX(active(encArg(z0)))) ENCODE_PREFIX(cons_mark(z0)) -> c(PREFIX(mark(encArg(z0)))) ENCODE_PREFIX(cons_app(z0, z1)) -> c(PREFIX(app(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_cons(z0, z1)) -> c(PREFIX(cons(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_from(z0)) -> c(PREFIX(from(encArg(z0)))) ENCODE_PREFIX(cons_s(z0)) -> c(PREFIX(s(encArg(z0)))) ENCODE_PREFIX(cons_zWadr(z0, z1)) -> c(PREFIX(zWadr(encArg(z0), encArg(z1)))) ENCODE_PREFIX(cons_prefix(z0)) -> c(PREFIX(prefix(encArg(z0)))) ENCARG(cons_active(cons_active(cons_active(z0)))) -> c1(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c1(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_active(cons_active(cons_app(z0, z1)))) -> c1(ACTIVE(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c1(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_active(cons_active(cons_from(z0)))) -> c1(ACTIVE(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_active(cons_active(cons_s(z0)))) -> c1(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_active(cons_active(cons_zWadr(z0, z1)))) -> c1(ACTIVE(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_active(cons_prefix(z0)))) -> c1(ACTIVE(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c1(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c1(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_active(cons_mark(cons_app(z0, z1)))) -> c1(ACTIVE(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c1(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_active(cons_mark(cons_from(z0)))) -> c1(ACTIVE(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c1(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_active(cons_mark(cons_zWadr(z0, z1)))) -> c1(ACTIVE(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_mark(cons_prefix(z0)))) -> c1(ACTIVE(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_active(cons_mark(nil))) -> c9(ACTIVE(mark(nil))) ENCARG(cons_active(cons_mark(nil))) -> c9(ENCARG(cons_mark(nil))) ENCARG(cons_active(cons_app(x0, nil))) -> c1(ACTIVE(app(encArg(x0), nil)), ENCARG(cons_app(x0, nil))) ENCARG(cons_active(cons_app(x0, cons_active(z0)))) -> c1(ACTIVE(app(encArg(x0), active(encArg(z0)))), ENCARG(cons_app(x0, cons_active(z0)))) ENCARG(cons_active(cons_app(x0, cons_mark(z0)))) -> c1(ACTIVE(app(encArg(x0), mark(encArg(z0)))), ENCARG(cons_app(x0, cons_mark(z0)))) ENCARG(cons_active(cons_app(x0, cons_app(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_from(z0)))) -> c1(ACTIVE(app(encArg(x0), from(encArg(z0)))), ENCARG(cons_app(x0, cons_from(z0)))) ENCARG(cons_active(cons_app(x0, cons_s(z0)))) -> c1(ACTIVE(app(encArg(x0), s(encArg(z0)))), ENCARG(cons_app(x0, cons_s(z0)))) ENCARG(cons_active(cons_app(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(app(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_app(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_app(x0, cons_prefix(z0)))) -> c1(ACTIVE(app(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_app(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_app(nil, x1))) -> c1(ACTIVE(app(nil, encArg(x1))), ENCARG(cons_app(nil, x1))) ENCARG(cons_active(cons_app(cons_active(z0), x1))) -> c1(ACTIVE(app(active(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_active(z0), x1))) ENCARG(cons_active(cons_app(cons_mark(z0), x1))) -> c1(ACTIVE(app(mark(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_mark(z0), x1))) ENCARG(cons_active(cons_app(cons_app(z0, z1), x1))) -> c1(ACTIVE(app(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_cons(z0, z1), x1))) -> c1(ACTIVE(app(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_from(z0), x1))) -> c1(ACTIVE(app(from(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_from(z0), x1))) ENCARG(cons_active(cons_app(cons_s(z0), x1))) -> c1(ACTIVE(app(s(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_s(z0), x1))) ENCARG(cons_active(cons_app(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(app(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_app(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_app(cons_prefix(z0), x1))) -> c1(ACTIVE(app(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_app(cons_prefix(z0), x1))) ENCARG(cons_active(cons_cons(x0, nil))) -> c1(ACTIVE(cons(encArg(x0), nil)), ENCARG(cons_cons(x0, nil))) ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c1(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0)))) ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c1(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0)))) ENCARG(cons_active(cons_cons(x0, cons_app(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_from(z0)))) -> c1(ACTIVE(cons(encArg(x0), from(encArg(z0)))), ENCARG(cons_cons(x0, cons_from(z0)))) ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c1(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0)))) ENCARG(cons_active(cons_cons(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(cons(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_cons(x0, cons_prefix(z0)))) -> c1(ACTIVE(cons(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_cons(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_cons(nil, x1))) -> c1(ACTIVE(cons(nil, encArg(x1))), ENCARG(cons_cons(nil, x1))) ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c1(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1))) ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c1(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1))) ENCARG(cons_active(cons_cons(cons_app(z0, z1), x1))) -> c1(ACTIVE(cons(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c1(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_from(z0), x1))) -> c1(ACTIVE(cons(from(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_from(z0), x1))) ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c1(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1))) ENCARG(cons_active(cons_cons(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_cons(cons_prefix(z0), x1))) -> c1(ACTIVE(cons(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_prefix(z0), x1))) ENCARG(cons_active(cons_s(cons_active(z0)))) -> c1(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c1(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_active(cons_s(cons_app(z0, z1)))) -> c1(ACTIVE(s(app(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c1(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_active(cons_s(cons_from(z0)))) -> c1(ACTIVE(s(from(encArg(z0)))), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_active(cons_s(cons_s(z0)))) -> c1(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_active(cons_s(cons_zWadr(z0, z1)))) -> c1(ACTIVE(s(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_s(cons_prefix(z0)))) -> c1(ACTIVE(s(prefix(encArg(z0)))), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(x0, nil))) -> c1(ACTIVE(zWadr(encArg(x0), nil)), ENCARG(cons_zWadr(x0, nil))) ENCARG(cons_active(cons_zWadr(x0, cons_active(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), active(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_active(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_mark(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), mark(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_mark(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_app(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), app(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_app(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_cons(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_cons(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_from(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), from(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_from(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_s(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), s(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_s(z0)))) ENCARG(cons_active(cons_zWadr(x0, cons_zWadr(z0, z1)))) -> c1(ACTIVE(zWadr(encArg(x0), zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_zWadr(x0, cons_zWadr(z0, z1)))) ENCARG(cons_active(cons_zWadr(x0, cons_prefix(z0)))) -> c1(ACTIVE(zWadr(encArg(x0), prefix(encArg(z0)))), ENCARG(cons_zWadr(x0, cons_prefix(z0)))) ENCARG(cons_active(cons_zWadr(nil, x1))) -> c1(ACTIVE(zWadr(nil, encArg(x1))), ENCARG(cons_zWadr(nil, x1))) ENCARG(cons_active(cons_zWadr(cons_active(z0), x1))) -> c1(ACTIVE(zWadr(active(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_active(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_mark(z0), x1))) -> c1(ACTIVE(zWadr(mark(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_mark(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_app(z0, z1), x1))) -> c1(ACTIVE(zWadr(app(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_app(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_cons(z0, z1), x1))) -> c1(ACTIVE(zWadr(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_cons(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_from(z0), x1))) -> c1(ACTIVE(zWadr(from(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_from(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_s(z0), x1))) -> c1(ACTIVE(zWadr(s(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_s(z0), x1))) ENCARG(cons_active(cons_zWadr(cons_zWadr(z0, z1), x1))) -> c1(ACTIVE(zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x1))) ENCARG(cons_active(cons_zWadr(cons_prefix(z0), x1))) -> c1(ACTIVE(zWadr(prefix(encArg(z0)), encArg(x1))), ENCARG(cons_zWadr(cons_prefix(z0), x1))) ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c2(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0)))) ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c2(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0)))) ENCARG(cons_mark(cons_active(cons_app(z0, z1)))) -> c2(MARK(active(app(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_app(z0, z1)))) ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c2(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_active(cons_from(z0)))) -> c2(MARK(active(from(encArg(z0)))), ENCARG(cons_active(cons_from(z0)))) ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c2(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0)))) ENCARG(cons_mark(cons_active(cons_zWadr(z0, z1)))) -> c2(MARK(active(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_active(cons_prefix(z0)))) -> c2(MARK(active(prefix(encArg(z0)))), ENCARG(cons_active(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c2(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0)))) ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c2(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0)))) ENCARG(cons_mark(cons_mark(cons_app(z0, z1)))) -> c2(MARK(mark(app(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_app(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c2(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_from(z0)))) -> c2(MARK(mark(from(encArg(z0)))), ENCARG(cons_mark(cons_from(z0)))) ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c2(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0)))) ENCARG(cons_mark(cons_mark(cons_zWadr(z0, z1)))) -> c2(MARK(mark(zWadr(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_zWadr(z0, z1)))) ENCARG(cons_mark(cons_mark(cons_prefix(z0)))) -> c2(MARK(mark(prefix(encArg(z0)))), ENCARG(cons_mark(cons_prefix(z0)))) ENCARG(cons_mark(cons_mark(nil))) -> c10(MARK(mark(nil))) ENCARG(cons_mark(cons_mark(nil))) -> c10(ENCARG(cons_mark(nil))) ENCARG(cons_app(x0, cons_app(x1, nil))) -> c3(APP(encArg(x0), app(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_app(x1, nil))) ENCARG(cons_app(x0, cons_app(x1, cons_active(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_from(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_s(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_app(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), app(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_app(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), app(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_app(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_app(nil, x2))) -> c3(APP(encArg(x0), app(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_app(nil, x2))) ENCARG(cons_app(x0, cons_app(cons_active(z0), x2))) -> c3(APP(encArg(x0), app(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_mark(z0), x2))) -> c3(APP(encArg(x0), app(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), app(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_from(z0), x2))) -> c3(APP(encArg(x0), app(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_s(z0), x2))) -> c3(APP(encArg(x0), app(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_app(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), app(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_app(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), app(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_app(x1, x2))) -> c3(APP(active(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_app(x1, x2))) -> c3(APP(mark(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_app(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_app(x1, x2))) -> c3(APP(from(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_app(x1, x2))) -> c3(APP(s(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_app(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_app(x1, x2))) -> c3(APP(prefix(encArg(z0)), app(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(nil, cons_app(x1, x2))) -> c3(APP(nil, app(encArg(x1), encArg(x2))), ENCARG(cons_app(x1, x2))) ENCARG(cons_app(x0, cons_cons(x1, nil))) -> c3(APP(encArg(x0), cons(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_cons(x1, nil))) ENCARG(cons_app(x0, cons_cons(x1, cons_active(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_from(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_s(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_cons(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), cons(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_cons(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), cons(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_cons(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_cons(nil, x2))) -> c3(APP(encArg(x0), cons(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_cons(nil, x2))) ENCARG(cons_app(x0, cons_cons(cons_active(z0), x2))) -> c3(APP(encArg(x0), cons(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_mark(z0), x2))) -> c3(APP(encArg(x0), cons(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), cons(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_from(z0), x2))) -> c3(APP(encArg(x0), cons(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_s(z0), x2))) -> c3(APP(encArg(x0), cons(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_cons(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), cons(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_cons(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), cons(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_cons(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_cons(x1, x2))) -> c3(APP(active(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_cons(x1, x2))) -> c3(APP(mark(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_cons(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_cons(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_cons(x1, x2))) -> c3(APP(from(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_cons(x1, x2))) -> c3(APP(s(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_cons(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_cons(x1, x2))) -> c3(APP(prefix(encArg(z0)), cons(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(nil, cons_cons(x1, x2))) -> c3(APP(nil, cons(encArg(x1), encArg(x2))), ENCARG(cons_cons(x1, x2))) ENCARG(cons_app(x0, cons_from(cons_active(z0)))) -> c3(APP(encArg(x0), from(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_active(z0)))) ENCARG(cons_app(x0, cons_from(cons_mark(z0)))) -> c3(APP(encArg(x0), from(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_mark(z0)))) ENCARG(cons_app(x0, cons_from(cons_app(z0, z1)))) -> c3(APP(encArg(x0), from(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), from(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_from(z0)))) -> c3(APP(encArg(x0), from(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_from(z0)))) ENCARG(cons_app(x0, cons_from(cons_s(z0)))) -> c3(APP(encArg(x0), from(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_s(z0)))) ENCARG(cons_app(x0, cons_from(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), from(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_from(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_from(cons_prefix(z0)))) -> c3(APP(encArg(x0), from(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_from(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_from(x1))) -> c3(APP(active(encArg(z0)), from(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_mark(z0), cons_from(x1))) -> c3(APP(mark(encArg(z0)), from(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_from(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_from(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_from(z0), cons_from(x1))) -> c3(APP(from(encArg(z0)), from(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_s(z0), cons_from(x1))) -> c3(APP(s(encArg(z0)), from(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_from(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), from(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_from(x1))) ENCARG(cons_app(cons_prefix(z0), cons_from(x1))) -> c3(APP(prefix(encArg(z0)), from(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_from(nil))) -> c3(APP(encArg(x0), from(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_from(x1))) -> c3(APP(nil, from(encArg(x1))), ENCARG(cons_from(x1))) ENCARG(cons_app(x0, cons_s(cons_active(z0)))) -> c3(APP(encArg(x0), s(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_active(z0)))) ENCARG(cons_app(x0, cons_s(cons_mark(z0)))) -> c3(APP(encArg(x0), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_mark(z0)))) ENCARG(cons_app(x0, cons_s(cons_app(z0, z1)))) -> c3(APP(encArg(x0), s(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_from(z0)))) -> c3(APP(encArg(x0), s(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_from(z0)))) ENCARG(cons_app(x0, cons_s(cons_s(z0)))) -> c3(APP(encArg(x0), s(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_s(z0)))) ENCARG(cons_app(x0, cons_s(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), s(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_s(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_s(cons_prefix(z0)))) -> c3(APP(encArg(x0), s(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_s(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_s(x1))) -> c3(APP(active(encArg(z0)), s(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_mark(z0), cons_s(x1))) -> c3(APP(mark(encArg(z0)), s(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_s(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_s(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_from(z0), cons_s(x1))) -> c3(APP(from(encArg(z0)), s(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_s(z0), cons_s(x1))) -> c3(APP(s(encArg(z0)), s(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_s(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), s(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_s(x1))) ENCARG(cons_app(cons_prefix(z0), cons_s(x1))) -> c3(APP(prefix(encArg(z0)), s(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_s(nil))) -> c3(APP(encArg(x0), s(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_s(x1))) -> c3(APP(nil, s(encArg(x1))), ENCARG(cons_s(x1))) ENCARG(cons_app(x0, cons_zWadr(x1, nil))) -> c3(APP(encArg(x0), zWadr(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_zWadr(x1, nil))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_active(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), active(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_active(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_mark(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_mark(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_app(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_cons(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_from(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), from(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_from(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_s(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), s(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_s(z0)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_zWadr(x1, cons_prefix(z0)))) -> c3(APP(encArg(x0), zWadr(encArg(x1), prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_zWadr(x1, cons_prefix(z0)))) ENCARG(cons_app(x0, cons_zWadr(nil, x2))) -> c3(APP(encArg(x0), zWadr(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(nil, x2))) ENCARG(cons_app(x0, cons_zWadr(cons_active(z0), x2))) -> c3(APP(encArg(x0), zWadr(active(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_active(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_mark(z0), x2))) -> c3(APP(encArg(x0), zWadr(mark(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_mark(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_app(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_app(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_cons(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_cons(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_from(z0), x2))) -> c3(APP(encArg(x0), zWadr(from(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_from(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_s(z0), x2))) -> c3(APP(encArg(x0), zWadr(s(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_s(z0), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_zWadr(z0, z1), x2))) -> c3(APP(encArg(x0), zWadr(zWadr(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_zWadr(z0, z1), x2))) ENCARG(cons_app(x0, cons_zWadr(cons_prefix(z0), x2))) -> c3(APP(encArg(x0), zWadr(prefix(encArg(z0)), encArg(x2))), ENCARG(x0), ENCARG(cons_zWadr(cons_prefix(z0), x2))) ENCARG(cons_app(cons_active(z0), cons_zWadr(x1, x2))) -> c3(APP(active(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_active(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_mark(z0), cons_zWadr(x1, x2))) -> c3(APP(mark(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_app(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(app(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_cons(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(cons(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_from(z0), cons_zWadr(x1, x2))) -> c3(APP(from(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_from(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_s(z0), cons_zWadr(x1, x2))) -> c3(APP(s(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_s(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_zWadr(x1, x2))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(cons_prefix(z0), cons_zWadr(x1, x2))) -> c3(APP(prefix(encArg(z0)), zWadr(encArg(x1), encArg(x2))), ENCARG(cons_prefix(z0)), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(nil, cons_zWadr(x1, x2))) -> c3(APP(nil, zWadr(encArg(x1), encArg(x2))), ENCARG(cons_zWadr(x1, x2))) ENCARG(cons_app(x0, cons_prefix(cons_active(z0)))) -> c3(APP(encArg(x0), prefix(active(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_active(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_mark(z0)))) -> c3(APP(encArg(x0), prefix(mark(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_mark(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_app(z0, z1)))) -> c3(APP(encArg(x0), prefix(app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_app(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_cons(z0, z1)))) -> c3(APP(encArg(x0), prefix(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_cons(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_from(z0)))) -> c3(APP(encArg(x0), prefix(from(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_from(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_s(z0)))) -> c3(APP(encArg(x0), prefix(s(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_s(z0)))) ENCARG(cons_app(x0, cons_prefix(cons_zWadr(z0, z1)))) -> c3(APP(encArg(x0), prefix(zWadr(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_prefix(cons_zWadr(z0, z1)))) ENCARG(cons_app(x0, cons_prefix(cons_prefix(z0)))) -> c3(APP(encArg(x0), prefix(prefix(encArg(z0)))), ENCARG(x0), ENCARG(cons_prefix(cons_prefix(z0)))) ENCARG(cons_app(cons_active(z0), cons_prefix(x1))) -> c3(APP(active(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_active(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_mark(z0), cons_prefix(x1))) -> c3(APP(mark(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_mark(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_app(z0, z1), cons_prefix(x1))) -> c3(APP(app(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_app(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_cons(z0, z1), cons_prefix(x1))) -> c3(APP(cons(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_cons(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_from(z0), cons_prefix(x1))) -> c3(APP(from(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_from(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_s(z0), cons_prefix(x1))) -> c3(APP(s(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_s(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_zWadr(z0, z1), cons_prefix(x1))) -> c3(APP(zWadr(encArg(z0), encArg(z1)), prefix(encArg(x1))), ENCARG(cons_zWadr(z0, z1)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_prefix(z0), cons_prefix(x1))) -> c3(APP(prefix(encArg(z0)), prefix(encArg(x1))), ENCARG(cons_prefix(z0)), ENCARG(cons_prefix(x1))) ENCARG(cons_app(x0, cons_prefix(nil))) -> c3(APP(encArg(x0), prefix(nil)), ENCARG(x0)) ENCARG(cons_app(nil, cons_prefix(x1))) -> c3(APP(nil, prefix(encArg(x1))), ENCARG(cons_prefix(x1))) ENCARG(cons_app(cons_app(x0, x1), cons_active(z0))) -> c3(APP(app(encArg(x0), encArg(x1)), active(encArg(z0))), ENCARG(cons_app(x0, x1)), ENCARG(cons_active(z0))) ENCARG(cons_app(cons_app(x0, x1), cons_mark(z0))) -> c3(APP(app(encArg(x0), encArg(x1)), mark(encArg(z0))), ENCARG(cons_app(x0, x1)), ENCARG(cons_mark(z0))) ENCARG(cons_app(cons_app(x0, nil), x2)) -> c3(APP(app(encArg(x0), nil), encArg(x2)), ENCARG(cons_app(x0, nil)), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_active(z0)), x2)) -> c3(APP(app(encArg(x0), active(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_active(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_mark(z0)), x2)) -> c3(APP(app(encArg(x0), mark(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_mark(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c3(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_cons(z0, z1)), x2)) -> c3(APP(app(encArg(x0), cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_cons(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_from(z0)), x2)) -> c3(APP(app(encArg(x0), from(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_from(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_s(z0)), x2)) -> c3(APP(app(encArg(x0), s(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_s(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_zWadr(z0, z1)), x2)) -> c3(APP(app(encArg(x0), zWadr(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_zWadr(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, cons_prefix(z0)), x2)) -> c3(APP(app(encArg(x0), prefix(encArg(z0))), encArg(x2)), ENCARG(cons_app(x0, cons_prefix(z0))), ENCARG(x2)) ENCARG(cons_app(cons_app(nil, x1), x2)) -> c3(APP(app(nil, encArg(x1)), encArg(x2)), ENCARG(cons_app(nil, x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_active(z0), x1), x2)) -> c3(APP(app(active(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_active(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_mark(z0), x1), x2)) -> c3(APP(app(mark(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_mark(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c3(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_cons(z0, z1), x1), x2)) -> c3(APP(app(cons(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_cons(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_from(z0), x1), x2)) -> c3(APP(app(from(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_from(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_s(z0), x1), x2)) -> c3(APP(app(s(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_s(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_zWadr(z0, z1), x1), x2)) -> c3(APP(app(zWadr(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_zWadr(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(cons_prefix(z0), x1), x2)) -> c3(APP(app(prefix(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_prefix(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_app(x0, x1), nil)) -> c3(APP(app(encArg(x0), encArg(x1)), nil), ENCARG(cons_app(x0, x1))) ENCARG(cons_app(cons_cons(x0, x1), cons_active(z0))) -> c3(APP(cons(encArg(x0), encArg(x1)), active(encArg(z0))), ENCARG(cons_cons(x0, x1)), ENCARG(cons_active(z0))) ENCARG(cons_app(cons_cons(x0, x1), cons_mark(z0))) -> c3(APP(cons(encArg(x0), encArg(x1)), mark(encArg(z0))), ENCARG(cons_cons(x0, x1)), ENCARG(cons_mark(z0))) ENCARG(cons_app(cons_cons(x0, nil), x2)) -> c3(APP(cons(encArg(x0), nil), encArg(x2)), ENCARG(cons_cons(x0, nil)), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_active(z0)), x2)) -> c3(APP(cons(encArg(x0), active(encArg(z0))), encArg(x2)), ENCARG(cons_cons(x0, cons_active(z0))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_mark(z0)), x2)) -> c3(APP(cons(encArg(x0), mark(encArg(z0))), encArg(x2)), ENCARG(cons_cons(x0, cons_mark(z0))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_app(z0, z1)), x2)) -> c3(APP(cons(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_cons(x0, cons_app(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_cons(z0, z1)), x2)) -> c3(APP(cons(encArg(x0), cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_cons(x0, cons_cons(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_from(z0)), x2)) -> c3(APP(cons(encArg(x0), from(encArg(z0))), encArg(x2)), ENCARG(cons_cons(x0, cons_from(z0))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_s(z0)), x2)) -> c3(APP(cons(encArg(x0), s(encArg(z0))), encArg(x2)), ENCARG(cons_cons(x0, cons_s(z0))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_zWadr(z0, z1)), x2)) -> c3(APP(cons(encArg(x0), zWadr(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_cons(x0, cons_zWadr(z0, z1))), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, cons_prefix(z0)), x2)) -> c3(APP(cons(encArg(x0), prefix(encArg(z0))), encArg(x2)), ENCARG(cons_cons(x0, cons_prefix(z0))), ENCARG(x2)) ENCARG(cons_app(cons_cons(nil, x1), x2)) -> c3(APP(cons(nil, encArg(x1)), encArg(x2)), ENCARG(cons_cons(nil, x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_active(z0), x1), x2)) -> c3(APP(cons(active(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_active(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_mark(z0), x1), x2)) -> c3(APP(cons(mark(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_mark(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_app(z0, z1), x1), x2)) -> c3(APP(cons(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_app(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_cons(z0, z1), x1), x2)) -> c3(APP(cons(cons(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_cons(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_from(z0), x1), x2)) -> c3(APP(cons(from(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_from(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_s(z0), x1), x2)) -> c3(APP(cons(s(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_s(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_zWadr(z0, z1), x1), x2)) -> c3(APP(cons(zWadr(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_zWadr(z0, z1), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(cons_prefix(z0), x1), x2)) -> c3(APP(cons(prefix(encArg(z0)), encArg(x1)), encArg(x2)), ENCARG(cons_cons(cons_prefix(z0), x1)), ENCARG(x2)) ENCARG(cons_app(cons_cons(x0, x1), nil)) -> c3(APP(cons(encArg(x0), encArg(x1)), nil), ENCARG(cons_cons(x0, x1))) S tuples: ACTIVE(app(nil, z0)) -> c18(MARK(z0)) ACTIVE(app(cons(z0, z1), z2)) -> c19(MARK(cons(z0, app(z1, z2))), CONS(z0, app(z1, z2)), APP(z1, z2)) ACTIVE(zWadr(nil, z0)) -> c21(MARK(nil)) ACTIVE(zWadr(z0, nil)) -> c22(MARK(nil)) APP(mark(z0), z1) -> c32(APP(z0, z1)) APP(z0, mark(z1)) -> c33(APP(z0, z1)) APP(active(z0), z1) -> c34(APP(z0, z1)) APP(z0, active(z1)) -> c35(APP(z0, z1)) CONS(mark(z0), z1) -> c36(CONS(z0, z1)) CONS(z0, mark(z1)) -> c37(CONS(z0, z1)) CONS(active(z0), z1) -> c38(CONS(z0, z1)) CONS(z0, active(z1)) -> c39(CONS(z0, z1)) FROM(mark(z0)) -> c40(FROM(z0)) FROM(active(z0)) -> c41(FROM(z0)) S(mark(z0)) -> c42(S(z0)) S(active(z0)) -> c43(S(z0)) ZWADR(mark(z0), z1) -> c44(ZWADR(z0, z1)) ZWADR(z0, mark(z1)) -> c45(ZWADR(z0, z1)) ZWADR(active(z0), z1) -> c46(ZWADR(z0, z1)) ZWADR(z0, active(z1)) -> c47(ZWADR(z0, z1)) PREFIX(mark(z0)) -> c48(PREFIX(z0)) PREFIX(active(z0)) -> c49(PREFIX(z0)) ACTIVE(from(z0)) -> c20(MARK(cons(z0, from(s(z0)))), S(z0)) ACTIVE(zWadr(cons(z0, z1), cons(z2, z3))) -> c23(MARK(cons(app(z2, cons(z0, nil)), zWadr(z1, z3))), APP(z2, cons(z0, nil)), CONS(z0, nil), ZWADR(z1, z3)) ACTIVE(prefix(z0)) -> c24(MARK(cons(nil, zWadr(z0, prefix(z0)))), PREFIX(z0)) MARK(nil) -> c26 MARK(app(z0, x1)) -> c25(ACTIVE(app(z0, mark(x1))), APP(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(app(x0, z1)) -> c25(ACTIVE(app(mark(x0), z1)), APP(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(app(x0, app(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(app(mark(z0), mark(z1))))), APP(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(app(x0, nil)) -> c25(ACTIVE(app(mark(x0), active(nil))), APP(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(app(x0, cons(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(cons(mark(z0), z1)))), APP(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(app(x0, from(z0))) -> c25(ACTIVE(app(mark(x0), active(from(mark(z0))))), APP(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(app(x0, s(z0))) -> c25(ACTIVE(app(mark(x0), active(s(mark(z0))))), APP(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(app(x0, zWadr(z0, z1))) -> c25(ACTIVE(app(mark(x0), active(zWadr(mark(z0), mark(z1))))), APP(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(app(x0, prefix(z0))) -> c25(ACTIVE(app(mark(x0), active(prefix(mark(z0))))), APP(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(app(app(z0, z1), x1)) -> c25(ACTIVE(app(active(app(mark(z0), mark(z1))), mark(x1))), APP(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(app(nil, x1)) -> c25(ACTIVE(app(active(nil), mark(x1))), APP(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(app(cons(z0, z1), x1)) -> c25(ACTIVE(app(active(cons(mark(z0), z1)), mark(x1))), APP(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(app(from(z0), x1)) -> c25(ACTIVE(app(active(from(mark(z0))), mark(x1))), APP(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(app(s(z0), x1)) -> c25(ACTIVE(app(active(s(mark(z0))), mark(x1))), APP(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(app(zWadr(z0, z1), x1)) -> c25(ACTIVE(app(active(zWadr(mark(z0), mark(z1))), mark(x1))), APP(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(app(prefix(z0), x1)) -> c25(ACTIVE(app(active(prefix(mark(z0))), mark(x1))), APP(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(cons(app(z0, z1), x1)) -> c27(ACTIVE(cons(active(app(mark(z0), mark(z1))), x1)), CONS(mark(app(z0, z1)), x1), MARK(app(z0, z1))) MARK(cons(nil, x1)) -> c27(ACTIVE(cons(active(nil), x1)), CONS(mark(nil), x1), MARK(nil)) MARK(cons(cons(z0, z1), x1)) -> c27(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1))) MARK(cons(from(z0), x1)) -> c27(ACTIVE(cons(active(from(mark(z0))), x1)), CONS(mark(from(z0)), x1), MARK(from(z0))) MARK(cons(s(z0), x1)) -> c27(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0))) MARK(cons(zWadr(z0, z1), x1)) -> c27(ACTIVE(cons(active(zWadr(mark(z0), mark(z1))), x1)), CONS(mark(zWadr(z0, z1)), x1), MARK(zWadr(z0, z1))) MARK(cons(prefix(z0), x1)) -> c27(ACTIVE(cons(active(prefix(mark(z0))), x1)), CONS(mark(prefix(z0)), x1), MARK(prefix(z0))) MARK(cons(x0, x1)) -> c27(CONS(mark(x0), x1)) MARK(cons(z0, z1)) -> c27(CONS(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c28(ACTIVE(from(z0)), FROM(mark(z0)), MARK(z0)) MARK(from(app(z0, z1))) -> c28(ACTIVE(from(active(app(mark(z0), mark(z1))))), FROM(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(from(nil)) -> c28(ACTIVE(from(active(nil))), FROM(mark(nil)), MARK(nil)) MARK(from(cons(z0, z1))) -> c28(ACTIVE(from(active(cons(mark(z0), z1)))), FROM(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(from(from(z0))) -> c28(ACTIVE(from(active(from(mark(z0))))), FROM(mark(from(z0))), MARK(from(z0))) MARK(from(s(z0))) -> c28(ACTIVE(from(active(s(mark(z0))))), FROM(mark(s(z0))), MARK(s(z0))) MARK(from(zWadr(z0, z1))) -> c28(ACTIVE(from(active(zWadr(mark(z0), mark(z1))))), FROM(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(from(prefix(z0))) -> c28(ACTIVE(from(active(prefix(mark(z0))))), FROM(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(app(z0, z1))) -> c29(ACTIVE(s(active(app(mark(z0), mark(z1))))), S(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(s(nil)) -> c29(ACTIVE(s(active(nil))), S(mark(nil)), MARK(nil)) MARK(s(cons(z0, z1))) -> c29(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(s(from(z0))) -> c29(ACTIVE(s(active(from(mark(z0))))), S(mark(from(z0))), MARK(from(z0))) MARK(s(s(z0))) -> c29(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0))) MARK(s(zWadr(z0, z1))) -> c29(ACTIVE(s(active(zWadr(mark(z0), mark(z1))))), S(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(s(prefix(z0))) -> c29(ACTIVE(s(active(prefix(mark(z0))))), S(mark(prefix(z0))), MARK(prefix(z0))) MARK(s(z0)) -> c29(S(mark(z0)), MARK(z0)) MARK(zWadr(z0, x1)) -> c30(ACTIVE(zWadr(z0, mark(x1))), ZWADR(mark(z0), mark(x1)), MARK(z0), MARK(x1)) MARK(zWadr(x0, z1)) -> c30(ACTIVE(zWadr(mark(x0), z1)), ZWADR(mark(x0), mark(z1)), MARK(x0), MARK(z1)) MARK(zWadr(x0, app(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(app(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(app(z0, z1))), MARK(x0), MARK(app(z0, z1))) MARK(zWadr(x0, nil)) -> c30(ACTIVE(zWadr(mark(x0), active(nil))), ZWADR(mark(x0), mark(nil)), MARK(x0), MARK(nil)) MARK(zWadr(x0, cons(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(cons(mark(z0), z1)))), ZWADR(mark(x0), mark(cons(z0, z1))), MARK(x0), MARK(cons(z0, z1))) MARK(zWadr(x0, from(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(from(mark(z0))))), ZWADR(mark(x0), mark(from(z0))), MARK(x0), MARK(from(z0))) MARK(zWadr(x0, s(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(s(mark(z0))))), ZWADR(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0))) MARK(zWadr(x0, zWadr(z0, z1))) -> c30(ACTIVE(zWadr(mark(x0), active(zWadr(mark(z0), mark(z1))))), ZWADR(mark(x0), mark(zWadr(z0, z1))), MARK(x0), MARK(zWadr(z0, z1))) MARK(zWadr(x0, prefix(z0))) -> c30(ACTIVE(zWadr(mark(x0), active(prefix(mark(z0))))), ZWADR(mark(x0), mark(prefix(z0))), MARK(x0), MARK(prefix(z0))) MARK(zWadr(app(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(app(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(app(z0, z1)), mark(x1)), MARK(app(z0, z1)), MARK(x1)) MARK(zWadr(nil, x1)) -> c30(ACTIVE(zWadr(active(nil), mark(x1))), ZWADR(mark(nil), mark(x1)), MARK(nil), MARK(x1)) MARK(zWadr(cons(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(cons(mark(z0), z1)), mark(x1))), ZWADR(mark(cons(z0, z1)), mark(x1)), MARK(cons(z0, z1)), MARK(x1)) MARK(zWadr(from(z0), x1)) -> c30(ACTIVE(zWadr(active(from(mark(z0))), mark(x1))), ZWADR(mark(from(z0)), mark(x1)), MARK(from(z0)), MARK(x1)) MARK(zWadr(s(z0), x1)) -> c30(ACTIVE(zWadr(active(s(mark(z0))), mark(x1))), ZWADR(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1)) MARK(zWadr(zWadr(z0, z1), x1)) -> c30(ACTIVE(zWadr(active(zWadr(mark(z0), mark(z1))), mark(x1))), ZWADR(mark(zWadr(z0, z1)), mark(x1)), MARK(zWadr(z0, z1)), MARK(x1)) MARK(zWadr(prefix(z0), x1)) -> c30(ACTIVE(zWadr(active(prefix(mark(z0))), mark(x1))), ZWADR(mark(prefix(z0)), mark(x1)), MARK(prefix(z0)), MARK(x1)) MARK(prefix(z0)) -> c31(ACTIVE(prefix(z0)), PREFIX(mark(z0)), MARK(z0)) MARK(prefix(app(z0, z1))) -> c31(ACTIVE(prefix(active(app(mark(z0), mark(z1))))), PREFIX(mark(app(z0, z1))), MARK(app(z0, z1))) MARK(prefix(nil)) -> c31(ACTIVE(prefix(active(nil))), PREFIX(mark(nil)), MARK(nil)) MARK(prefix(cons(z0, z1))) -> c31(ACTIVE(prefix(active(cons(mark(z0), z1)))), PREFIX(mark(cons(z0, z1))), MARK(cons(z0, z1))) MARK(prefix(from(z0))) -> c31(ACTIVE(prefix(active(from(mark(z0))))), PREFIX(mark(from(z0))), MARK(from(z0))) MARK(prefix(s(z0))) -> c31(ACTIVE(prefix(active(s(mark(z0))))), PREFIX(mark(s(z0))), MARK(s(z0))) MARK(prefix(zWadr(z0, z1))) -> c31(ACTIVE(prefix(active(zWadr(mark(z0), mark(z1))))), PREFIX(mark(zWadr(z0, z1))), MARK(zWadr(z0, z1))) MARK(prefix(prefix(z0))) -> c31(ACTIVE(prefix(active(prefix(mark(z0))))), PREFIX(mark(prefix(z0))), MARK(prefix(z0))) K tuples:none Defined Rule Symbols: encArg_1, active_1, mark_1, app_2, cons_2, from_1, s_1, zWadr_2, prefix_1 Defined Pair Symbols: ACTIVE_1, APP_2, CONS_2, FROM_1, S_1, ZWADR_2, PREFIX_1, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_APP_2, ENCODE_MARK_1, ENCODE_CONS_2, ENCODE_FROM_1, ENCODE_S_1, ENCODE_ZWADR_2, ENCODE_PREFIX_1 Compound Symbols: c18_1, c19_3, c21_1, c22_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c20_2, c23_4, c24_2, c26, c1_2, c2_2, c2_1, c3_3, c3_2, c4_3, c4_2, c5_2, c6_2, c7_3, c7_2, c8_2, c25_4, c27_3, c27_1, c27_2, c28_3, c29_3, c29_2, c30_4, c31_3, c_1, c9_1, c10_1